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 12 results. Next

A302310 Number of 2Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 3, 11, 21, 31, 113, 363, 813, 1751, 5001, 14051, 34053, 82063, 218273, 579291, 1452381, 3638471, 9447993, 24526163, 62318133, 158325631, 407598161, 1049289291, 2679681933, 6843284663, 17562012393, 45069368771, 115317418341
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Row 2 of A302309.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..0..1..0. .0..1..0..1..1. .0..1..0..1..0
..0..0..1..0..1. .1..0..0..1..0. .0..1..0..0..0. .0..1..1..1..0
		

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3) +12*a(n-4) -16*a(n-5) for n>6

A302304 Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 11, 13, 33, 58, 153, 336, 937, 2449, 6560, 18488, 52053, 147896, 425764, 1229112, 3561761, 10353391, 30135225, 87835075, 256217794, 747737289, 2183170380, 6375689391, 18622164403, 54399493814, 158924553086, 464309179701
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Column 3 of A302309.

Examples

			Some solutions for n=5
..0..1..0. .0..1..0. .0..1..1. .0..1..0. .0..1..0. .0..0..1. .0..1..0
..1..1..0. .0..1..0. .1..0..1. .1..1..0. .0..1..0. .0..1..0. .1..1..0
..1..1..1. .0..1..0. .0..0..0. .0..1..0. .1..1..0. .1..1..1. .1..1..1
..1..1..0. .0..1..1. .0..0..1. .0..1..0. .0..1..0. .0..1..1. .0..1..0
..0..1..0. .0..1..0. .1..0..1. .1..0..0. .0..0..0. .0..1..0. .1..0..0
		

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +13*a(n-5) -42*a(n-6) +25*a(n-7) -21*a(n-8) -36*a(n-9) +48*a(n-10) -24*a(n-11) +8*a(n-12) +32*a(n-13) for n>16

A302305 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 21, 26, 66, 153, 380, 1090, 3120, 9130, 28503, 92139, 306958, 1051554, 3668169, 12963076, 46237599, 165941571, 598016312, 2161073292, 7823738491, 28358286582, 102869586674, 373350974508, 1355483499654, 4922288630695, 17877323961313
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Column 4 of A302309.

Examples

			Some solutions for n=5
..0..1..1..0. .0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..1..0..1. .0..0..0..0. .0..0..0..1. .1..0..0..1. .0..0..1..1
..0..1..0..1. .0..1..1..1. .1..1..1..1. .1..0..1..0. .1..1..0..0
..1..1..0..1. .0..1..0..1. .1..0..0..0. .1..0..1..0. .1..0..1..0
..0..1..0..1. .0..0..0..1. .1..0..1..1. .1..1..1..0. .1..0..1..0
		

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) +13*a(n-3) -39*a(n-4) -46*a(n-5) -69*a(n-6) +127*a(n-7) +351*a(n-8) +398*a(n-9) +182*a(n-10) -501*a(n-11) -1019*a(n-12) -1557*a(n-13) -1491*a(n-14) -1959*a(n-15) -1262*a(n-16) +1382*a(n-17) +5918*a(n-18) +10142*a(n-19) +9318*a(n-20) +6522*a(n-21) +3234*a(n-22) +7658*a(n-23) +7127*a(n-24) -8022*a(n-25) -34050*a(n-26) -48544*a(n-27) -31871*a(n-28) +435*a(n-29) +28903*a(n-30) +28894*a(n-31) +6166*a(n-32) -21872*a(n-33) -19757*a(n-34) +5445*a(n-35) +29560*a(n-36) +30055*a(n-37) +7892*a(n-38) -7579*a(n-39) -11238*a(n-40) -4021*a(n-41) +1118*a(n-42) +848*a(n-43) -2208*a(n-44) -2176*a(n-45) -926*a(n-46) +1360*a(n-47) +502*a(n-48) -167*a(n-49) +425*a(n-50) -101*a(n-51) -197*a(n-52) +22*a(n-53) +80*a(n-54) +6*a(n-55) +8*a(n-56) +3*a(n-57) -18*a(n-58) -a(n-59) +3*a(n-60) for n>61

A302306 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 31, 48, 194, 445, 1271, 3915, 12420, 42897, 158170, 605532, 2395817, 9709409, 39880121, 165585758, 693033415, 2914777618, 12305134022, 52090542883, 220906709231, 938079788895, 3987432050368, 16960357014483, 72175348991290
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Column 5 of A302309.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..1..0..1. .0..1..0..0..1. .0..0..1..0..1
..0..1..0..1..0. .1..0..1..0..0. .0..1..0..1..0. .0..1..0..0..1
..1..1..0..0..0. .1..0..1..0..1. .0..1..0..1..0. .0..1..0..0..0
..1..1..1..1..1. .0..0..1..0..1. .1..1..0..1..0. .0..1..1..0..1
..0..1..1..0..1. .1..0..1..0..1. .0..1..0..0..0. .0..1..0..1..1
		

Crossrefs

Cf. A302309.

A302307 Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 113, 121, 663, 1595, 5715, 18990, 73663, 312122, 1468425, 7435015, 39732589, 220413622, 1252325938, 7234253383, 42220737525, 248052641109, 1463694696334, 8660691810640, 51336560128881, 304650450122309, 1809254624278226
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Column 6 of A302309.

Examples

			Some solutions for n=5
..0..1..0..1..1..0. .0..0..0..1..0..1. .0..1..1..0..0..1. .0..0..0..1..1..1
..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1
..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1. .1..1..0..1..0..0
..0..1..0..1..0..0. .0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1
..0..1..0..1..0..1. .0..1..0..0..1..1. .0..0..0..1..1..1. .0..1..0..1..0..1
		

Crossrefs

Cf. A302309.

A302308 Number of nX7 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 363, 275, 2048, 4772, 18992, 76642, 364922, 1991487, 11850372, 74391348, 486418706, 3257213385, 22149432404, 152046330078, 1049873091893, 7276150005243, 50546516116050, 351666937737820, 2449012961612884
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Column 7 of A302309.

Examples

			Some solutions for n=5
..0..1..0..1..0..0..0. .0..1..0..1..0..1..0. .0..1..0..1..1..1..0
..0..1..0..1..0..1..0. .0..1..0..1..0..0..0. .0..0..0..1..0..1..0
..0..1..0..1..0..1..0. .1..0..0..1..1..1..1. .1..1..1..1..1..0..1
..0..1..0..1..0..1..1. .1..0..0..0..0..0..1. .1..0..1..1..0..0..0
..0..1..0..1..0..1..0. .0..1..0..0..1..0..1. .1..0..0..0..0..0..1
		

Crossrefs

Cf. A302309.

A302311 Number of 3 X n 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 13, 26, 48, 121, 275, 600, 1296, 2998, 6731, 15022, 33412, 75480, 169232, 379265, 848913, 1907065, 4276079, 9589159, 21494910, 48224727, 108142434, 242526545, 543834226, 1219737296, 2735350513, 6134430103, 13756843652, 30852213480
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Row 3 of A302309.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..0..1..0..1. .0..0..1..0..1. .0..1..1..1..0
..0..1..0..1..1. .0..1..0..0..1. .1..1..1..0..0. .0..1..0..1..0
..0..1..0..1..0. .0..1..0..1..0. .0..0..1..0..1. .0..1..0..0..0
		

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) -a(n-3) +8*a(n-4) -7*a(n-5) -22*a(n-6) +9*a(n-7) -14*a(n-8) +10*a(n-9) +39*a(n-10) -19*a(n-11) +6*a(n-12) -18*a(n-14) +9*a(n-15) for n>16.

A302312 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 33, 66, 194, 663, 2048, 5790, 17761, 58980, 191180, 596347, 1907378, 6288532, 20577053, 66405860, 215990588, 709815637, 2327287890, 7595046870, 24844917677, 81549601926, 267490606860, 876047158691, 2871110160412, 9420069102786
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Row 4 of A302309.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..0..1..0. .0..0..1..0..1. .0..1..1..1..0
..1..1..0..1..0. .1..1..0..1..0. .1..1..1..0..1. .1..1..1..0..1
..0..1..0..1..0. .0..1..0..1..1. .0..0..0..0..1. .0..1..1..0..1
..0..0..0..1..0. .0..0..0..1..0. .0..1..1..0..1. .0..1..0..1..1
		

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) +60*a(n-4) -131*a(n-5) -353*a(n-6) +10*a(n-7) -1175*a(n-8) +3055*a(n-9) +7872*a(n-10) +147*a(n-11) +12947*a(n-12) -33227*a(n-13) -87331*a(n-14) -9250*a(n-15) -93900*a(n-16) +187065*a(n-17) +567276*a(n-18) +117942*a(n-19) +450056*a(n-20) -548959*a(n-21) -2334141*a(n-22) -730683*a(n-23) -1443723*a(n-24) +687058*a(n-25) +6323246*a(n-26) +2755222*a(n-27) +3362249*a(n-28) +657022*a(n-29) -11137465*a(n-30) -6733801*a(n-31) -5922943*a(n-32) -4829865*a(n-33) +11295211*a(n-34) +9594872*a(n-35) +7037564*a(n-36) +9773770*a(n-37) -4045646*a(n-38) -6292677*a(n-39) -2960406*a(n-40) -7716783*a(n-41) -3109708*a(n-42) +290519*a(n-43) -336302*a(n-44) +1567545*a(n-45) +1178128*a(n-46) +451089*a(n-47) +464276*a(n-48) -213008*a(n-49) -10214*a(n-50) -148486*a(n-51) -128582*a(n-52) +12396*a(n-53) -23456*a(n-54) +25976*a(n-55) +10232*a(n-56) -212*a(n-57) +1968*a(n-58) -1008*a(n-59) -160*a(n-60) +64*a(n-61) for n>64

A302313 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 58, 153, 445, 1595, 4772, 15249, 49634, 166329, 547264, 1812790, 6026255, 20329381, 68337634, 228989976, 768581607, 2595937574, 8761489896, 29487968631, 99305798186, 335393857959, 1132559861889, 3818247323820, 12874857356305
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Row 5 of A302309.

Examples

			Some solutions for n=5
..0..1..0..1..1. .0..1..1..0..1. .0..1..0..0..0. .0..1..0..1..0
..1..1..0..0..0. .0..0..0..0..1. .0..1..1..1..0. .1..1..0..1..1
..1..1..1..1..1. .1..1..0..1..0. .0..0..0..1..0. .0..1..0..1..0
..0..1..1..0..1. .0..0..0..1..0. .1..1..1..1..1. .0..1..0..1..0
..0..0..0..0..1. .0..1..1..1..0. .1..0..1..1..0. .0..1..1..0..0
		

Crossrefs

Cf. A302309.

A302314 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 153, 380, 1271, 5715, 18992, 70289, 276303, 1198933, 4943025, 20296911, 87240442, 391664186, 1720317094, 7452867091, 33062937731, 149393352532, 666995403171, 2953315553655, 13219394330756, 59630333269194
Offset: 1

Views

Author

R. H. Hardin, Apr 05 2018

Keywords

Comments

Row 6 of A302309.

Examples

			Some solutions for n=5
..0..1..1..0..1. .0..1..0..1..0. .0..1..0..0..1. .0..1..1..1..1
..0..0..0..0..1. .1..1..0..1..0. .0..1..0..1..0. .1..1..1..0..1
..1..1..1..0..1. .0..1..0..1..1. .1..1..0..1..0. .0..1..0..0..1
..1..0..1..0..1. .1..0..1..1..1. .0..1..0..1..0. .0..0..1..0..1
..0..0..1..0..0. .0..0..0..1..0. .0..1..0..1..0. .1..1..0..1..0
..1..0..1..0..1. .1..0..0..0..1. .1..0..0..1..0. .1..0..1..1..0
		

Crossrefs

Cf. A302309.
Showing 1-10 of 12 results. Next