cp's OEIS Frontend

Empirical: a(n) = 4*a(n-1) -4*a(n-3) +15*a(n-4) -24*a(n-5) -68*a(n-6) +136*a(n-7) -81*a(n-8) +40*a(n-9) -10*a(n-10) +4*a(n-11) -a(n-12)

Empirical: a(n) = 4*a(n-1) -6*a(n-2) +20*a(n-3) -34*a(n-4) +148*a(n-5) -266*a(n-6) +192*a(n-7) -622*a(n-8) +1120*a(n-9) -3788*a(n-10) +6836*a(n-11) -5078*a(n-12) +3368*a(n-13) -1500*a(n-14) +1172*a(n-15) -603*a(n-16) +152*a(n-17) -376*a(n-18) +272*a(n-19) -156*a(n-20) +68*a(n-21) -10*a(n-22) +a(n-24).

Empirical: a(n) = 4*a(n-1) -6*a(n-2) +20*a(n-3) -34*a(n-4) +24*a(n-5) +230*a(n-6) -552*a(n-7) +447*a(n-8) -4060*a(n-9) +6908*a(n-10) -2648*a(n-11) -10346*a(n-12) +26292*a(n-13) -21776*a(n-14) +185776*a(n-15) -406128*a(n-16) +326996*a(n-17) -196764*a(n-18) +82488*a(n-19) -13045*a(n-20) -115472*a(n-21) +108636*a(n-22) -29312*a(n-23) +73724*a(n-24) -12420*a(n-25) -41050*a(n-26) +38840*a(n-27) -21680*a(n-28) +3232*a(n-29) -12984*a(n-30) +13080*a(n-31) -4064*a(n-32) +320*a(n-34) +64*a(n-35)

Empirical: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) +30*a(n-4) -72*a(n-5) +58*a(n-6) +872*a(n-7) -2121*a(n-8) +1748*a(n-9) -492*a(n-10) -13640*a(n-11) +26816*a(n-12) -13536*a(n-13) -232948*a(n-14) +493540*a(n-15) -280547*a(n-16) -33840*a(n-17) +1271000*a(n-18) -2599020*a(n-19) +2012477*a(n-20) +14744048*a(n-21) -38149820*a(n-22) +32418288*a(n-23) -9358211*a(n-24) -17204016*a(n-25) +20480444*a(n-26) -6417756*a(n-27) -25522136*a(n-28) +31264272*a(n-29) -10417774*a(n-30) -104220*a(n-31) +17617480*a(n-32) -9721216*a(n-33) -6417184*a(n-34) +19052720*a(n-35) -11470236*a(n-36) -3073784*a(n-37) +2563240*a(n-38) -4701200*a(n-39) +5023520*a(n-40) -1940960*a(n-41) -2778800*a(n-42) +3580160*a(n-43) -1109600*a(n-44) +16000*a(n-45) +88000*a(n-46) +22400*a(n-47) +10000*a(n-48)

Empirical: a(n) = (1/39916800)*n^11 + (1/518400)*n^10 + (1/15120)*n^9 + (137/120960)*n^8 + (12461/1209600)*n^7 + (8251/172800)*n^6 + (56011/362880)*n^5 + (14791/25920)*n^4 + (278149/151200)*n^3 + (8149/2100)*n^2 + (2539/462)*n + 4.

Empirical g.f.: x*(16 - 128*x + 543*x^2 - 1388*x^3 + 2394*x^4 - 2964*x^5 + 2683*x^6 - 1760*x^7 + 814*x^8 - 252*x^9 + 47*x^10 - 4*x^11) / (1 - x)^12. - Colin Barker, Jan 21 2018

Empirical: a(n) = (1/39916800)*n^11 + (1/453600)*n^10 + (1/11520)*n^9 + (11/6048)*n^8 + (28751/1209600)*n^7 + (4303/21600)*n^6 + (789461/725760)*n^5 + (40955/18144)*n^4 + (164359/43200)*n^3 + (110513/6300)*n^2 + (44789/1540)*n + 10.

Empirical g.f.: x*(64 - 512*x + 2168*x^2 - 5684*x^3 + 9864*x^4 - 11798*x^5 + 9944*x^6 - 5948*x^7 + 2500*x^8 - 711*x^9 + 124*x^10 - 10*x^11) / (1 - x)^12. - Colin Barker, Jan 21 2018

Empirical: a(n) = (1/39916800)*n^11 + (1/403200)*n^10 + (1/9072)*n^9 + (109/40320)*n^8 + (63421/1209600)*n^7 + (39319/57600)*n^6 + (1888387/362880)*n^5 + (24707/2240)*n^4 + (4099087/453600)*n^3 + (33487/525)*n^2 + (950843/6930)*n + 28 for n>1

Empirical: a(n) = (1/39916800)*n^11 + (1/362880)*n^10 + (11/80640)*n^9 + (461/120960)*n^8 + (141551/1209600)*n^7 + (36127/17280)*n^6 + (14049449/725760)*n^5 + (18041057/362880)*n^4 + (35402863/302400)*n^3 + (1423187/10080)*n^2 + (1020871/3080)*n + 163 for n>2

Empirical: a(n) = (1/39916800)*n^11 + (11/3628800)*n^10 + (1/6048)*n^9 + (125/24192)*n^8 + (315821/1209600)*n^7 + (994223/172800)*n^6 + (4372667/72576)*n^5 + (6881047/36288)*n^4 + (208795429/151200)*n^3 - (13877413/12600)*n^2 - (30361/231)*n + 712 for n>3.

Empirical: a(n) = (1/39916800)*n^11 + (1/302400)*n^10 + (143/725760)*n^9 + (137/20160)*n^8 + (686191/1209600)*n^7 + (68821/4800)*n^6 + (118924709/725760)*n^5 + (37326349/60480)*n^4 + (9666601859/907200)*n^3 - (165778309/8400)*n^2 + (24588142/3465)*n - 6396 for n>4