cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 11 results. Next

A207237 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

6, 36, 102, 287, 882, 2491, 6759, 18528, 50244, 134284, 357919, 951428, 2517507, 6644999, 17514496, 46087746, 121122382, 318060011, 834615854, 2188807497, 5737757291, 15035923244, 39391026514, 103174230894, 270192214787
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Column 3 of A207242

Examples

			Some solutions for n=4
..1..1..1....0..0..1....1..0..0....1..1..1....1..1..0....1..0..0....0..0..1
..0..1..0....0..1..0....0..0..1....1..1..1....0..0..1....0..1..0....1..1..0
..1..1..1....0..1..0....1..0..1....0..1..0....0..0..1....1..1..0....1..1..0
..1..0..1....0..1..0....1..0..1....0..1..0....0..0..1....1..0..0....1..0..0
		

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +6*a(n-3) -12*a(n-4) -8*a(n-5) -10*a(n-6) +8*a(n-7) +13*a(n-8) +11*a(n-9) -2*a(n-10) -4*a(n-11) -4*a(n-12) +a(n-14)

A207243 Number of 3Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

6, 36, 102, 283, 699, 1526, 3355, 6888, 13954, 27816, 54211, 105147, 201340, 382799, 723838, 1359688, 2544322, 4740623, 8801291, 16292518, 30071783, 55371672, 101727342, 186506700, 341316455, 623552411, 1137394900, 2071676507
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Row 3 of A207242

Examples

			Some solutions for n=4
..0..1..0..1....1..0..1..0....1..1..1..1....0..0..1..0....0..0..1..0
..1..0..0..1....1..0..1..0....1..1..0..1....0..1..0..0....1..1..1..1
..1..1..0..0....0..0..1..0....1..0..1..0....0..1..0..0....1..1..1..1
		

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -3*a(n-3) -4*a(n-4) +16*a(n-5) -8*a(n-6) +2*a(n-7) -8*a(n-8) +10*a(n-9) -14*a(n-10) +12*a(n-11) -4*a(n-12) +4*a(n-13) -5*a(n-14) +4*a(n-15) -3*a(n-16) +a(n-17)

A207236 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

2, 16, 102, 987, 13876, 197256, 3510185, 71594896, 1760487825, 47844199134, 1511863246821, 57304254157049, 2367852660685470, 115523120639939042, 6698200226978686505, 429360115542695358515, 32711874875890241470483
Offset: 1

Views

Author

R. H. Hardin, Feb 16 2012

Keywords

Comments

Diagonal of A207242.

Examples

			Some solutions for n=4
..1..1..0..0....1..1..0..1....0..0..1..0....0..0..1..0....1..1..1..0
..0..0..1..0....0..0..1..0....1..1..0..1....1..1..0..0....1..0..1..0
..1..1..1..0....0..0..1..0....1..1..0..1....1..1..1..0....0..1..0..0
..1..1..0..0....0..0..1..0....1..1..0..1....1..0..1..0....0..1..0..0
		

Crossrefs

Cf. A207242.

A207238 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 283, 987, 3866, 13494, 44730, 150608, 498551, 1615388, 5213924, 16743300, 53330410, 169085209, 534330613, 1682097877, 5278749205, 16525845242, 51617974464, 160893899363, 500630178086, 1555278833939, 4824719777577
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Column 4 of A207242

Examples

			Some solutions for n=4
..1..1..1..1....1..0..0..1....1..0..1..0....0..1..0..1....0..0..1..0
..1..0..1..0....0..1..0..0....1..0..1..0....0..0..1..0....1..1..0..1
..1..0..1..0....1..1..0..1....1..0..1..0....0..0..1..0....1..1..0..1
..0..0..1..0....1..1..0..1....1..0..1..0....0..0..1..0....1..1..0..1
		

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +24*a(n-3) -87*a(n-4) +24*a(n-5) -155*a(n-6) +534*a(n-7) +401*a(n-8) +731*a(n-9) -1499*a(n-10) -2615*a(n-11) -3148*a(n-12) +1796*a(n-13) +6170*a(n-14) +7794*a(n-15) +630*a(n-16) -7609*a(n-17) -10518*a(n-18) -4095*a(n-19) +4874*a(n-20) +8369*a(n-21) +4506*a(n-22) -1299*a(n-23) -3802*a(n-24) -2467*a(n-25) -86*a(n-26) +905*a(n-27) +680*a(n-28) +144*a(n-29) -96*a(n-30) -82*a(n-31) -27*a(n-32) -a(n-33) +4*a(n-34) +2*a(n-35)

A207239 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

13, 169, 699, 2884, 13876, 58026, 228110, 919413, 3634185, 13998459, 53800957, 205790414, 779790577, 2941656860, 11064045660, 41445238814, 154764854403, 576618193508, 2143459949578, 7951565765308, 29448392492010, 108894241441660
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Column 5 of A207242

Examples

			Some solutions for n=4
..0..1..0..1..0....1..0..1..0..0....1..0..0..1..0....0..0..1..0..1
..1..0..1..0..1....0..1..0..0..1....0..1..0..1..0....1..1..1..0..0
..1..1..1..0..1....0..1..0..0..1....1..1..0..1..0....1..1..0..0..1
..0..1..0..0..1....0..1..0..0..1....1..0..0..1..0....0..1..0..0..1
		

Formula

Empirical: a(n) = 8*a(n-1) -26*a(n-2) +135*a(n-3) -639*a(n-4) +1521*a(n-5) -5279*a(n-6) +19423*a(n-7) -33332*a(n-8) +96511*a(n-9) -311958*a(n-10) +337332*a(n-11) -996197*a(n-12) +3129849*a(n-13) -1158132*a(n-14) +6792527*a(n-15) -22469353*a(n-16) -10205403*a(n-17) -38377326*a(n-18) +128347909*a(n-19) +168590312*a(n-20) +223894553*a(n-21) -605069232*a(n-22) -1278631554*a(n-23) -1325287135*a(n-24) +2291502984*a(n-25) +6662547204*a(n-26) +6904699749*a(n-27) -6564569089*a(n-28) -26128692858*a(n-29) -29261402700*a(n-30) +12425688487*a(n-31) +79726323345*a(n-32) +98777662559*a(n-33) -6525686808*a(n-34) -191501409167*a(n-35) -265733772542*a(n-36) -51152606805*a(n-37) +361703268692*a(n-38) +572286794374*a(n-39) +223910410658*a(n-40) -529760030978*a(n-41) -989539528341*a(n-42) -548779227473*a(n-43) +579315089824*a(n-44) +1373624526974*a(n-45) +960455836673*a(n-46) -423082850174*a(n-47) -1524797278060*a(n-48) -1280202981948*a(n-49) +105396953464*a(n-50) +1341281367774*a(n-51) +1331476375233*a(n-52) +205580718394*a(n-53) -918904301138*a(n-54) -1090261396247*a(n-55) -355618647352*a(n-56) +473943594747*a(n-57) +703530700793*a(n-58) +324891813461*a(n-59) -169943204879*a(n-60) -356168619659*a(n-61) -206240393403*a(n-62) +31303799775*a(n-63) +140208511142*a(n-64) +97004405158*a(n-65) +5794934802*a(n-66) -42356314444*a(n-67) -34513631775*a(n-68) -6689739763*a(n-69) +9650875733*a(n-70) +9341334051*a(n-71) +2638715756*a(n-72) -1625505740*a(n-73) -1921597696*a(n-74) -650868864*a(n-75) +199435984*a(n-76) +299017570*a(n-77) +109287442*a(n-78) -18300218*a(n-79) -34820844*a(n-80) -12491914*a(n-81) +1456928*a(n-82) +2948720*a(n-83) +918552*a(n-84) -118920*a(n-85) -167748*a(n-86) -36968*a(n-87) +7576*a(n-88) +5144*a(n-89) +520*a(n-90) -192*a(n-91) -48*a(n-92)

A207240 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

18, 324, 1526, 7165, 40838, 197256, 886959, 4132837, 18825154, 83118767, 366894032, 1612009910, 7003691520, 30295384994, 130694823493, 561304207068, 2402966839572, 10265912202332, 43759103277417, 186155560434801
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Column 6 of A207242

Examples

			Some solutions for n=4
..0..1..0..1..0..0....0..1..0..1..0..1....1..1..1..0..0..1....0..1..0..0..1..0
..1..0..0..1..0..0....0..0..1..0..1..0....1..1..1..0..1..0....1..0..1..0..1..0
..1..1..0..1..0..0....0..0..1..0..1..0....1..1..0..0..1..0....1..0..1..0..1..0
..1..1..0..1..0..0....0..0..1..0..1..0....0..0..1..0..1..0....1..0..1..0..1..0
		

A207241 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

25, 625, 3355, 17929, 122197, 683257, 3510185, 18982182, 99915970, 505774921, 2568234125, 12986009155, 64726463915, 321230475656, 1590644502408, 7833019325065, 38434345117724, 188211984325803, 919273907789464
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Column 7 of A207242

Examples

			Some solutions for n=4
..1..1..0..1..0..0..1....0..0..1..0..1..0..1....1..0..1..0..0..1..0
..1..0..0..1..0..0..1....0..1..0..1..0..1..0....1..1..0..0..1..0..0
..1..1..0..1..0..0..1....0..1..0..1..0..1..0....0..1..0..0..1..0..0
..0..1..0..1..0..0..1....0..1..0..1..0..1..0....1..1..0..0..1..0..0
		

A207244 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 287, 987, 2884, 7165, 17929, 40646, 90602, 196548, 412733, 859077, 1751887, 3532169, 7052859, 13932019, 27335037, 53236611, 103050502, 198448577, 380245761, 725544748, 1379004108, 2611731954, 4930796893, 9281596371
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Row 4 of A207242

Examples

			Some solutions for n=4
..0..0..1..0....1..0..0..1....0..1..0..1....1..1..1..1....0..1..0..0
..0..1..0..0....0..1..0..1....0..0..1..0....1..1..1..1....0..0..1..0
..0..1..0..0....1..1..0..1....0..0..1..0....1..1..1..1....0..0..1..0
..0..1..0..0....1..0..0..1....0..0..1..0....0..1..0..1....0..0..1..0
		

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) -12*a(n-3) +3*a(n-4) +47*a(n-5) -17*a(n-6) -66*a(n-7) -9*a(n-8) +90*a(n-9) +2*a(n-10) -33*a(n-11) +a(n-12) -5*a(n-13) -44*a(n-14) +19*a(n-15) +52*a(n-16) -16*a(n-17) -7*a(n-18) -3*a(n-19) +a(n-20) -18*a(n-21) +17*a(n-22) -2*a(n-23) +2*a(n-24) -3*a(n-25) +3*a(n-26) -3*a(n-27) +a(n-28)

A207245 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

14, 196, 882, 3866, 13876, 40838, 122197, 323039, 839664, 2118081, 5144235, 12420899, 29367779, 68814825, 160240695, 370297213, 853749771, 1962554058, 4505049629, 10339042120, 23722711465, 54465341130, 125140238149
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Row 5 of A207242

Examples

			Some solutions for n=4
..1..0..1..0....1..1..1..0....1..1..1..1....0..0..1..0....1..1..0..0
..1..1..1..1....1..0..1..0....1..1..0..0....1..1..0..0....1..1..1..1
..0..1..0..1....0..1..0..0....0..0..1..0....1..1..1..0....1..1..1..1
..0..1..0..0....0..1..0..0....1..1..1..0....1..0..1..0....1..1..1..0
..0..1..0..0....0..1..0..0....1..1..0..0....0..1..0..0....1..0..1..0
		

Formula

Empirical: a(n) = 6*a(n-1) -4*a(n-2) -31*a(n-3) +13*a(n-4) +163*a(n-5) -55*a(n-6) -486*a(n-7) -4*a(n-8) +1085*a(n-9) +240*a(n-10) -1523*a(n-11) -496*a(n-12) +1195*a(n-13) +75*a(n-14) -489*a(n-15) +1746*a(n-16) -146*a(n-17) -2825*a(n-18) -472*a(n-19) +2969*a(n-20) -441*a(n-21) -906*a(n-22) +1032*a(n-23) +214*a(n-24) -2032*a(n-25) +630*a(n-26) +1340*a(n-27) -749*a(n-28) -334*a(n-29) +486*a(n-30) -21*a(n-31) -703*a(n-32) +657*a(n-33) -63*a(n-34) -2*a(n-35) -178*a(n-36) +283*a(n-37) -262*a(n-38) +99*a(n-39) -38*a(n-40) +57*a(n-41) -61*a(n-42) +49*a(n-43) -20*a(n-44) +6*a(n-45) -5*a(n-46) +4*a(n-47) -3*a(n-48) +a(n-49)

A207246 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

21, 441, 2491, 13494, 58026, 197256, 683257, 2037721, 5952936, 16732138, 44859931, 119159921, 307712676, 784050794, 1976285122, 4919758858, 12172588913, 29902600211, 73076993300, 177908921984, 431510277616, 1043914139326
Offset: 1

Views

Author

R. H. Hardin Feb 16 2012

Keywords

Comments

Row 6 of A207242

Examples

			Some solutions for n=4
..1..1..0..0....0..0..1..0....1..1..1..1....0..0..1..0....0..1..0..1
..1..0..0..1....0..0..1..0....1..1..1..0....1..0..1..0....0..1..0..0
..1..0..0..1....0..0..1..0....1..0..1..0....1..0..1..0....0..1..0..1
..1..0..0..1....0..0..1..0....1..1..0..0....1..0..1..0....0..1..0..1
..1..0..0..1....0..0..1..0....0..1..0..0....0..0..1..0....0..1..0..1
..1..0..0..1....0..0..1..0....0..1..0..0....1..0..1..0....0..1..0..1
		

Formula

Empirical: a(n) = 8*a(n-1) -12*a(n-2) -50*a(n-3) +95*a(n-4) +336*a(n-5) -588*a(n-6) -1487*a(n-7) +2028*a(n-8) +5458*a(n-9) -4964*a(n-10) -14733*a(n-11) +7983*a(n-12) +28710*a(n-13) -8764*a(n-14) -38038*a(n-15) +13329*a(n-16) +25576*a(n-17) -34894*a(n-18) +4797*a(n-19) +85079*a(n-20) -38346*a(n-21) -123180*a(n-22) +57099*a(n-23) +106641*a(n-24) -85944*a(n-25) -32414*a(n-26) +135057*a(n-27) -63771*a(n-28) -139446*a(n-29) +104392*a(n-30) +117031*a(n-31) -151465*a(n-32) +920*a(n-33) +105470*a(n-34) -49741*a(n-35) -96933*a(n-36) +117706*a(n-37) +13032*a(n-38) -80359*a(n-39) +20007*a(n-40) +50040*a(n-41) -44770*a(n-42) -18399*a(n-43) +51353*a(n-44) -23402*a(n-45) -7892*a(n-46) +3053*a(n-47) +19099*a(n-48) -27640*a(n-49) +17674*a(n-50) -6057*a(n-51) +5305*a(n-52) -9666*a(n-53) +10300*a(n-54) -6951*a(n-55) +3382*a(n-56) -2268*a(n-57) +2458*a(n-58) -2163*a(n-59) +1388*a(n-60) -658*a(n-61) +348*a(n-62) -290*a(n-63) +219*a(n-64) -126*a(n-65) +50*a(n-66) -18*a(n-67) +12*a(n-68) -8*a(n-69) +4*a(n-70) -a(n-71)
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