cp's OEIS Frontend

Empirical: a(n) = 2*a(n-1) +22*a(n-2) -46*a(n-3) -230*a(n-4) +506*a(n-5) +1518*a(n-6) -3542*a(n-7) -7084*a(n-8) +17710*a(n-9) +24794*a(n-10) -67298*a(n-11) -67298*a(n-12) +201894*a(n-13) +144210*a(n-14) -490314*a(n-15) -245157*a(n-16) +980628*a(n-17) +326876*a(n-18) -1634380*a(n-19) -326876*a(n-20) +2288132*a(n-21) +208012*a(n-22) -2704156*a(n-23) +2704156*a(n-25) -208012*a(n-26) -2288132*a(n-27) +326876*a(n-28) +1634380*a(n-29) -326876*a(n-30) -980628*a(n-31) +245157*a(n-32) +490314*a(n-33) -144210*a(n-34) -201894*a(n-35) +67298*a(n-36) +67298*a(n-37) -24794*a(n-38) -17710*a(n-39) +7084*a(n-40) +3542*a(n-41) -1518*a(n-42) -506*a(n-43) +230*a(n-44) +46*a(n-45) -22*a(n-46) -2*a(n-47) +a(n-48)

Empirical for n mod 2 = 0: a(n) = (1/7213895789838336)*n^24 + (1/50096498540544)*n^23 + (1235/901736973729792)*n^22 + (4477/75144747810816)*n^21 + (831679/450868486864896)*n^20 + (812591/18786186952704)*n^19 + (1405627/1761205026816)*n^18 + (3100741/260919263232)*n^17 + (4094603551/28179280429056)*n^16 + (433465327/293534171136)*n^15 + (44306115959/3522410053632)*n^14 + (26501886041/293534171136)*n^13 + (964685807569/1761205026816)*n^12 + (68759134069/24461180928)*n^11 + (1341490699171/110075314176)*n^10 + (51007464301/1146617856)*n^9 + (935019035443/6879707136)*n^8 + (98748474923/286654464)*n^7 + (34174316941/47775744)*n^6 + (1189590079/995328)*n^5 + (129883723/82944)*n^4 + (41785/27)*n^3 + (156019/144)*n^2 + (1435/3)*n + 100

Empirical for n mod 2 = 1: a(n) = (1/7213895789838336)*n^24 + (1/50096498540544)*n^23 + (2473/1803473947459584)*n^22 + (8987/150289495621632)*n^21 + (6703097/3606947894919168)*n^20 + (6582733/150289495621632)*n^19 + (1467014557/1803473947459584)*n^18 + (203874037/16698832846848)*n^17 + (1087131080383/7213895789838336)*n^16 + (116367833311/75144747810816)*n^15 + (12047121885881/901736973729792)*n^14 + (7311600115943/75144747810816)*n^13 + (1082232553741855/1803473947459584)*n^12 + (78574511484559/25048249270272)*n^11 + (12519441818897777/901736973729792)*n^10 + (3896610583531693/75144747810816)*n^9 + (1172330828707213711/7213895789838336)*n^8 + (63675047896162255/150289495621632)*n^7 + (20207552719915925/22265110462464)*n^6 + (26209033583275375/16698832846848)*n^5 + (95114119934815625/44530220924928)*n^4 + (1361430919121875/618475290624)*n^3 + (443670923390625/274877906944)*n^2 + (51535776796875/68719476736)*n + (182401906640625/1099511627776)

Empirical: a(n) = 2*a(n-1) +10*a(n-2) -22*a(n-3) -44*a(n-4) +110*a(n-5) +110*a(n-6) -330*a(n-7) -165*a(n-8) +660*a(n-9) +132*a(n-10) -924*a(n-11) +924*a(n-13) -132*a(n-14) -660*a(n-15) +165*a(n-16) +330*a(n-17) -110*a(n-18) -110*a(n-19) +44*a(n-20) +22*a(n-21) -10*a(n-22) -2*a(n-23) +a(n-24)

Empirical for n mod 2 = 0: a(n) = (1/2359296)*n^12 + (7/294912)*n^11 + (355/589824)*n^10 + (449/49152)*n^9 + (4541/49152)*n^8 + (1007/1536)*n^7 + (123317/36864)*n^6 + (113887/9216)*n^5 + (9439/288)*n^4 + (5837/96)*n^3 + (1197/16)*n^2 + (219/4)*n + 18

Empirical for n mod 2 = 1: a(n) = (1/2359296)*n^12 + (7/294912)*n^11 + (713/1179648)*n^10 + (2729/294912)*n^9 + (223799/2359296)*n^8 + (101131/147456)*n^7 + (2115031/589824)*n^6 + (2014145/147456)*n^5 + (88753375/2359296)*n^4 + (7180625/98304)*n^3 + (12440625/131072)*n^2 + (2428125/32768)*n + (6890625/262144)

Empirical: a(n) = 2*a(n-1) +14*a(n-2) -30*a(n-3) -90*a(n-4) +210*a(n-5) +350*a(n-6) -910*a(n-7) -910*a(n-8) +2730*a(n-9) +1638*a(n-10) -6006*a(n-11) -2002*a(n-12) +10010*a(n-13) +1430*a(n-14) -12870*a(n-15) +12870*a(n-17) -1430*a(n-18) -10010*a(n-19) +2002*a(n-20) +6006*a(n-21) -1638*a(n-22) -2730*a(n-23) +910*a(n-24) +910*a(n-25) -350*a(n-26) -210*a(n-27) +90*a(n-28) +30*a(n-29) -14*a(n-30) -2*a(n-31) +a(n-32)

Empirical for n mod 2 = 0: a(n) = (1/1358954496)*n^16 + (5/84934656)*n^15 + (31/14155776)*n^14 + (2135/42467328)*n^13 + (33847/42467328)*n^12 + (32735/3538944)*n^11 + (431429/5308416)*n^10 + (1463225/2654208)*n^9 + (5160755/1769472)*n^8 + (8008825/663552)*n^7 + (12913699/331776)*n^6 + (6965/72)*n^5 + (139417/768)*n^4 + (23855/96)*n^3 + (3741/16)*n^2 + 135*n + 36

Empirical for n mod 2 = 1: a(n) = (1/1358954496)*n^16 + (5/84934656)*n^15 + (373/169869312)*n^14 + (1435/28311552)*n^13 + (275299/339738624)*n^12 + (807985/84934656)*n^11 + (14409143/169869312)*n^10 + (49767325/84934656)*n^9 + (2153003003/679477248)*n^8 + (380990005/28311552)*n^7 + (7598369275/169869312)*n^6 + (9778683875/84934656)*n^5 + (76415846875/339738624)*n^4 + (9127365625/28311552)*n^3 + (2011296875/6291456)*n^2 + (616328125/3145728)*n + (937890625/16777216)

Empirical: a(n) = 2*a(n-1) +18*a(n-2) -38*a(n-3) -152*a(n-4) +342*a(n-5) +798*a(n-6) -1938*a(n-7) -2907*a(n-8) +7752*a(n-9) +7752*a(n-10) -23256*a(n-11) -15504*a(n-12) +54264*a(n-13) +23256*a(n-14) -100776*a(n-15) -25194*a(n-16) +151164*a(n-17) +16796*a(n-18) -184756*a(n-19) +184756*a(n-21) -16796*a(n-22) -151164*a(n-23) +25194*a(n-24) +100776*a(n-25) -23256*a(n-26) -54264*a(n-27) +15504*a(n-28) +23256*a(n-29) -7752*a(n-30) -7752*a(n-31) +2907*a(n-32) +1938*a(n-33) -798*a(n-34) -342*a(n-35) +152*a(n-36) +38*a(n-37) -18*a(n-38) -2*a(n-39) +a(n-40)

Empirical for n mod 2 = 0: a(n) = (1/3131031158784)*n^20 + (7/195689447424)*n^19 + (493/260919263232)*n^18 + (2041/32614907904)*n^17 + (5281/3623878656)*n^16 + (34463/1358954496)*n^15 + (8369123/24461180928)*n^14 + (175039/47775744)*n^13 + (14323615/452984832)*n^12 + (28292321/127401984)*n^11 + (433413979/339738624)*n^10 + (254953261/42467328)*n^9 + (4413740701/191102976)*n^8 + (862554061/11943936)*n^7 + (723265463/3981312)*n^6 + (20008087/55296)*n^5 + (15399517/27648)*n^4 + (183817/288)*n^3 + (4095/8)*n^2 + 256*n + 60

Empirical for n mod 2 = 1: a(n) = (1/3131031158784)*n^20 + (7/195689447424)*n^19 + (2963/1565515579392)*n^18 + (4103/65229815808)*n^17 + (170759/115964116992)*n^16 + (420893/16307453952)*n^15 + (137540489/391378894848)*n^14 + (186200281/48922361856)*n^13 + (52127114249/1565515579392)*n^12 + (2583189377/10871635968)*n^11 + (120935995553/86973087744)*n^10 + (218008401281/32614907904)*n^9 + (41245572338777/1565515579392)*n^8 + (4142442582715/48922361856)*n^7 + (85987767005225/391378894848)*n^6 + (7389222103375/16307453952)*n^5 + (84109893284375/115964116992)*n^4 + (6293620178125/7247757312)*n^3 + (14136300171875/19327352832)*n^2 + (103730703125/268435456)*n + (413609765625/4294967296)

Empirical: a(n) = 2*a(n-1) +26*a(n-2) -54*a(n-3) -324*a(n-4) +702*a(n-5) +2574*a(n-6) -5850*a(n-7) -14625*a(n-8) +35100*a(n-9) +63180*a(n-10) -161460*a(n-11) -215280*a(n-12) +592020*a(n-13) +592020*a(n-14) -1776060*a(n-15) -1332045*a(n-16) +4440150*a(n-17) +2466750*a(n-18) -9373650*a(n-19) -3749460*a(n-20) +16872570*a(n-21) +4601610*a(n-22) -26075790*a(n-23) -4345965*a(n-24) +34767720*a(n-25) +2674440*a(n-26) -40116600*a(n-27) +40116600*a(n-29) -2674440*a(n-30) -34767720*a(n-31) +4345965*a(n-32) +26075790*a(n-33) -4601610*a(n-34) -16872570*a(n-35) +3749460*a(n-36) +9373650*a(n-37) -2466750*a(n-38) -4440150*a(n-39) +1332045*a(n-40) +1776060*a(n-41) -592020*a(n-42) -592020*a(n-43) +215280*a(n-44) +161460*a(n-45) -63180*a(n-46) -35100*a(n-47) +14625*a(n-48) +5850*a(n-49) -2574*a(n-50) -702*a(n-51) +324*a(n-52) +54*a(n-53) -26*a(n-54) -2*a(n-55) +a(n-56)

Empirical for n mod 2 = 0: a(n) = (1/46168933054965350400)*n^28 + (23/5771116631870668800)*n^27 + (451/1282470362637926400)*n^26 + (19057/961852771978444800)*n^25 + (770023/961852771978444800)*n^24 + (1485127/60115798248652800)*n^23 + (48523211/80154397664870400)*n^22 + (26923657/2226511046246400)*n^21 + (12056968741/60115798248652800)*n^20 + (4207062883/1502894956216320)*n^19 + (498997793059/15028949562163200)*n^18 + (1266437177191/3757237390540800)*n^17 + (11060075878277/3757237390540800)*n^16 + (2605379422429/117413668454400)*n^15 + (5434788716347/37572373905408)*n^14 + (191574384904933/234827336908800)*n^13 + (233506669475617/58706834227200)*n^12 + (245496100146481/14676708556800)*n^11 + (665395240637933/11007531417600)*n^10 + (102760865752237/550376570880)*n^9 + (112182743639143/229323571200)*n^8 + (20566195851937/19110297600)*n^7 + (1561209722213/796262400)*n^6 + (19261940849/6635520)*n^5 + (4701106061/1382400)*n^4 + (34907687/11520)*n^3 + (185039/96)*n^2 + (3115/4)*n + 150

Empirical for n mod 2 = 1: a(n) = (1/46168933054965350400)*n^28 + (23/5771116631870668800)*n^27 + (325/923378661099307008)*n^26 + (114641/5771116631870668800)*n^25 + (37156691/46168933054965350400)*n^24 + (71922841/2885558315935334400)*n^23 + (7082252513/11542233263741337600)*n^22 + (35566445347/2885558315935334400)*n^21 + (9501813256121/46168933054965350400)*n^20 + (16707362824109/5771116631870668800)*n^19 + (159961807233959/4616893305496535040)*n^18 + (82028427321371/230844665274826752)*n^17 + (144932272992586787/46168933054965350400)*n^16 + (34583558049937571/1442779157967667200)*n^15 + (914775351038608423/5771116631870668800)*n^14 + (1310460363060759641/1442779157967667200)*n^13 + (208068829025881411739/46168933054965350400)*n^12 + (111506687915337527297/5771116631870668800)*n^11 + (1646408524090171699187/23084466527482675200)*n^10 + (433736506410530367917/1923705543956889600)*n^9 + (345394097513574221281/569986827839078400)*n^8 + (29299006250741638439/21374506043965440)*n^7 + (14674937650257198937/5699868278390784)*n^6 + (207995809091667065/52776558133248)*n^5 + (1347860673706015875/281474976710656)*n^4 + (156248550749725875/35184372088832)*n^3 + (415361160772543125/140737488355328)*n^2 + (44019729622378125/35184372088832)*n + (71508843479390625/281474976710656)

Empirical: a(n) = 2*a(n-1) +30*a(n-2) -62*a(n-3) -434*a(n-4) +930*a(n-5) +4030*a(n-6) -8990*a(n-7) -26970*a(n-8) +62930*a(n-9) +138446*a(n-10) -339822*a(n-11) -566370*a(n-12) +1472562*a(n-13) +1893294*a(n-14) -5259150*a(n-15) -5259150*a(n-16) +15777450*a(n-17) +12271350*a(n-18) -40320150*a(n-19) -24192090*a(n-20) +88704330*a(n-21) +40320150*a(n-22) -169344630*a(n-23) -56448210*a(n-24) +282241050*a(n-25) +65132550*a(n-26) -412506150*a(n-27) -58929450*a(n-28) +530365050*a(n-29) +35357670*a(n-30) -601080390*a(n-31) +601080390*a(n-33) -35357670*a(n-34) -530365050*a(n-35) +58929450*a(n-36) +412506150*a(n-37) -65132550*a(n-38) -282241050*a(n-39) +56448210*a(n-40) +169344630*a(n-41) -40320150*a(n-42) -88704330*a(n-43) +24192090*a(n-44) +40320150*a(n-45) -12271350*a(n-46) -15777450*a(n-47) +5259150*a(n-48) +5259150*a(n-49) -1893294*a(n-50) -1472562*a(n-51) +566370*a(n-52) +339822*a(n-53) -138446*a(n-54) -62930*a(n-55) +26970*a(n-56) +8990*a(n-57) -4030*a(n-58) -930*a(n-59) +434*a(n-60) +62*a(n-61) -30*a(n-62) -2*a(n-63) +a(n-64)

Empirical for n mod 2 = 0: a(n) = (1/295481171551778242560000)*n^32 + (7/9233786610993070080000)*n^31 + (7/85498024175861760000)*n^30 + (5243/923378661099307008000)*n^29 + (262369/923378661099307008000)*n^28 + (1401743/128247036263792640000)*n^27 + (3233819/9618527719784448000)*n^26 + (816965149/96185277197844480000)*n^25 + (1279779727/7124835347988480000)*n^24 + (77545763309/24046319299461120000)*n^23 + (298628314543/6011579824865280000)*n^22 + (442084983011/667953313873920000)*n^21 + (46132907907427/6011579824865280000)*n^20 + (116909942540279/1502894956216320000)*n^19 + (802092891287/1159641169920000)*n^18 + (2031366183004879/375723739054080000)*n^17 + (55903810241301923/1502894956216320000)*n^16 + (261298569894229/1159641169920000)*n^15 + (84611785049939939/70448201072640000)*n^14 + (99060914744459353/17612050268160000)*n^13 + (7528886885201117/326149079040000)*n^12 + (91063559073748373/1100753141760000)*n^11 + (70894521213893131/275188285440000)*n^10 + (5294479580641027/7644119040000)*n^9 + (12186324387089641/7644119040000)*n^8 + (24741813694283/7962624000)*n^7 + (16771060400671/3317760000)*n^6 + (93056990999/13824000)*n^5 + (658151479/92160)*n^4 + (1113469/192)*n^3 + (54115/16)*n^2 + 1260*n + 225

Empirical for n mod 2 = 1: a(n) = (1/295481171551778242560000)*n^32 + (7/9233786610993070080000)*n^31 + (1513/18467573221986140160000)*n^30 + (10507/1846757322198614016000)*n^29 + (10537219/36935146443972280320000)*n^28 + (101613407/9233786610993070080000)*n^27 + (1254630283/3693514644397228032000)*n^26 + (79578454319/9233786610993070080000)*n^25 + (13531572555887/73870292887944560640000)*n^24 + (30546647311187/9233786610993070080000)*n^23 + (37898002769801/738702928879445606400)*n^22 + (6360093759255299/9233786610993070080000)*n^21 + (297518478101705581/36935146443972280320000)*n^20 + (761220098616092507/9233786610993070080000)*n^19 + (2736237844091525131/3693514644397228032000)*n^18 + (54099304221246858539/9233786610993070080000)*n^17 + (6032326528400394272179/147740585775889121280000)*n^16 + (2316199055347180883957/9233786610993070080000)*n^15 + (5014841998373251341143/3693514644397228032000)*n^14 + (59703913143687617298949/9233786610993070080000)*n^13 + (998160378663138824821829/36935146443972280320000)*n^12 + (60812335346478039487891/615585774066204672000)*n^11 + (71663362568569460507117/227994731135631360000)*n^10 + (295828034292591834286967/341992096703447040000)*n^9 + (1862331872171523328148239/911978924542525440000)*n^8 + (10363813651198361679941/2533274790395904000)*n^7 + (772024515761134222363/112589990684262400)*n^6 + (106193495738755717173/11258999068426240)*n^5 + (93356331606752896395/9007199254740992)*n^4 + (19692809375944600665/2251799813685248)*n^3 + (23948041990752512325/4503599627370496)*n^2 + (4668342475512263625/2251799813685248)*n + (28034326997660300625/72057594037927936)