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

A302207 Number of nX3 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 11, 16, 47, 147, 386, 1065, 3063, 8624, 24219, 68527, 193946, 547869, 1548531, 4380048, 12385479, 35018011, 99025330, 280031137, 791849343, 2239169200, 6331964803, 17905479095, 50632882698, 143179634869, 404883140379
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 3 of A302212.

Examples

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

Crossrefs

Cf. A302212.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +9*a(n-3) -13*a(n-4) +2*a(n-5) -12*a(n-6) +12*a(n-7) -16*a(n-9)

A302208 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 13, 5, 7, 18, 55, 172, 575, 1962, 6756, 23400, 81288, 283089, 987275, 3444621, 12023434, 41982749, 146612525, 512036344, 1788383898, 6246509941, 21818284060, 76209472929, 266195826556, 929812279542, 3247807389634, 11344517688838
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 4 of A302212.

Examples

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

Crossrefs

Cf. A302212.

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +12*a(n-3) -21*a(n-4) -18*a(n-5) -16*a(n-6) +14*a(n-7) +21*a(n-8) +37*a(n-9) -6*a(n-10) +25*a(n-11) +62*a(n-12) -20*a(n-13) -7*a(n-14) -75*a(n-15) -76*a(n-16) -51*a(n-17) +57*a(n-18) +43*a(n-19) +35*a(n-20) +30*a(n-21) -35*a(n-22) -27*a(n-23) +10*a(n-24) +2*a(n-25) +6*a(n-26) -2*a(n-28) for n>32

A302209 Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 34, 32, 111, 448, 1725, 6423, 24927, 96909, 373007, 1440865, 5580691, 21589993, 83526057, 323320869, 1251515211, 4844117367, 18751251811, 72587463435, 280991282231, 1087753936319, 4210898294795, 16301265698437, 63105914070197
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 5 of A302212.

Examples

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

Crossrefs

Cf. A302212.

Formula

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +43*a(n-3) -167*a(n-4) +289*a(n-5) -491*a(n-6) +1395*a(n-7) -1918*a(n-8) +2105*a(n-9) -4845*a(n-10) +5894*a(n-11) -2484*a(n-12) +7527*a(n-13) -10198*a(n-14) -8382*a(n-15) -6549*a(n-16) +12610*a(n-17) +32961*a(n-18) +12280*a(n-19) -7213*a(n-20) -49277*a(n-21) -21675*a(n-22) -15454*a(n-23) +41277*a(n-24) +12068*a(n-25) +27412*a(n-26) -15746*a(n-27) +1598*a(n-28) -14336*a(n-29) +2718*a(n-30) -5912*a(n-31) +3644*a(n-32) -1164*a(n-33) +2304*a(n-34) -272*a(n-35) +160*a(n-36) -192*a(n-37) for n>41

A302210 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 65, 22, 80, 281, 1395, 8756, 43128, 234170, 1294490, 7086959, 38970702, 215045749, 1186180072, 6546201483, 36141119314, 199545542832, 1101845565725, 6084429873748, 33599148008180, 185542430499264, 1024617396401798
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 6 of A302212.

Examples

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

Crossrefs

Cf. A302212.

A302211 Number of n X 7 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 123, 72, 424, 1868, 11170, 55922, 291320, 1544411, 8168814, 43135601, 228337677, 1208744793, 6398223796, 33881994478, 179433657982, 950232876834, 5032989751367, 26658489563077, 141204904014504, 747985019374304
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 7 of A302212.

Examples

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

Crossrefs

Cf. A302212.

A302213 Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 2, 16, 5, 32, 22, 72, 101, 216, 486, 968, 2541, 5598, 14718, 35506, 91947, 231984, 597758, 1533828, 3954067, 10201602, 26336704, 68062810, 175893407, 454813604, 1176002162, 3041473404, 7866219629, 20346282584, 52627527962, 136129978706
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 3 of A302212.

Examples

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

Crossrefs

Cf. A302212.

Formula

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -29*a(n-3) -3*a(n-4) +96*a(n-5) -14*a(n-6) -187*a(n-7) +39*a(n-8) +246*a(n-9) -52*a(n-10) -230*a(n-11) +48*a(n-12) +146*a(n-13) -29*a(n-14) -57*a(n-15) +9*a(n-16) +12*a(n-17) -a(n-18) -a(n-19) for n>20

A302214 Number of 4 X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 3, 47, 7, 111, 80, 424, 1157, 2922, 12816, 33744, 135689, 427777, 1511455, 5237154, 17740921, 62498339, 212645123, 742064542, 2553096441, 8837428284, 30568037684, 105553660977, 365371090457, 1262061403870, 4365797662037, 15090331846613
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 4 of A302212.

Examples

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

Crossrefs

Cf. A302212.

Formula

Empirical: a(n) = 3*a(n-1) +28*a(n-2) -75*a(n-3) -398*a(n-4) +944*a(n-5) +3671*a(n-6) -7801*a(n-7) -24404*a(n-8) +47157*a(n-9) +124314*a(n-10) -221250*a(n-11) -505072*a(n-12) +836021*a(n-13) +1682425*a(n-14) -2608659*a(n-15) -4685786*a(n-16) +6844286*a(n-17) +11070045*a(n-18) -15306994*a(n-19) -22430872*a(n-20) +29493917*a(n-21) +39338431*a(n-22) -49375246*a(n-23) -60198503*a(n-24) +72293436*a(n-25) +81026935*a(n-26) -93046725*a(n-27) -96757097*a(n-28) +105632449*a(n-29) +103479364*a(n-30) -105909396*a(n-31) -100071471*a(n-32) +93611720*a(n-33) +88175650*a(n-34) -72499336*a(n-35) -70968961*a(n-36) +48606972*a(n-37) +51927035*a(n-38) -27622887*a(n-39) -34122752*a(n-40) +12814022*a(n-41) +19781216*a(n-42) -4480833*a(n-43) -9897585*a(n-44) +908537*a(n-45) +4168950*a(n-46) +107884*a(n-47) -1437073*a(n-48) -181920*a(n-49) +392409*a(n-50) +83213*a(n-51) -81617*a(n-52) -23241*a(n-53) +12292*a(n-54) +4271*a(n-55) -1246*a(n-56) -502*a(n-57) +75*a(n-58) +34*a(n-59) -2*a(n-60) -a(n-61) for n>62.

A302215 Number of 5Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 6, 147, 18, 448, 281, 1868, 6036, 16344, 110672, 332791, 1836532, 7975778, 32963967, 175388042, 679563302, 3615591697, 15049212425, 73677748194, 333969856156, 1532899327683, 7260258957631, 32677907934863, 155388905659519
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 5 of A302212.

Examples

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

Crossrefs

Cf. A302212.

A302216 Number of 6 X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 10, 386, 55, 1725, 1395, 11170, 46215, 142804, 1296927, 3754619, 31292819, 127447908, 726795706, 4149225211, 18401692931, 123060970268, 529741320345, 3425619819677, 16330961751579, 94036013407323, 503607474346495
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 6 of A302212.

Examples

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

Crossrefs

Cf. A302212.

A302217 Number of 7Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 21, 1065, 172, 6423, 8756, 55922, 465040, 1136003, 19265064, 60547641, 699553699, 3796928584, 26139308319, 214325335931, 1151196050162, 10992872734396, 60033419186727, 538343914163895, 3376563558675197
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 7 of A302212.

Examples

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

Crossrefs

Cf. A302212.
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