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

A302455 Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 11, 18, 55, 177, 474, 1397, 4135, 11882, 34847, 101857, 296482, 867237, 2532855, 7392050, 21600199, 63090609, 184246522, 538224973, 1572126423, 4591906058, 13413050687, 39179099921, 114439818402, 334276528661, 976412435063
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Column 3 of A302460.

Examples

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

Crossrefs

Cf. A302460.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +12*a(n-5) -42*a(n-6) +32*a(n-7) -24*a(n-8) -18*a(n-9) +24*a(n-10) +40*a(n-11) +32*a(n-12)

A302456 Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 13, 8, 10, 54, 111, 276, 1050, 3589, 12072, 43194, 154851, 551019, 1973047, 7081628, 25392279, 91083444, 326896708, 1173197125, 4210409234, 15111648970, 54238806035, 194673096964, 698722708994, 2507881233738, 9001384099178
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Column 4 of A302460.

Examples

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

Crossrefs

Cf. A302460.

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) +13*a(n-3) -43*a(n-4) -45*a(n-5) -55*a(n-6) +205*a(n-7) +430*a(n-8) +247*a(n-9) -420*a(n-10) -1411*a(n-11) -609*a(n-12) -98*a(n-13) +493*a(n-14) -1433*a(n-15) -674*a(n-16) +5576*a(n-17) +12646*a(n-18) +11980*a(n-19) -5741*a(n-20) -26379*a(n-21) -29484*a(n-22) +1409*a(n-23) +31978*a(n-24) +27080*a(n-25) -37072*a(n-26) -62871*a(n-27) -45568*a(n-28) +79026*a(n-29) +135383*a(n-30) +70938*a(n-31) -42117*a(n-32) -170277*a(n-33) -55003*a(n-34) +38773*a(n-35) +146571*a(n-36) +32581*a(n-37) -57933*a(n-38) -113650*a(n-39) -23076*a(n-40) +26108*a(n-41) +76117*a(n-42) -13998*a(n-43) -4170*a(n-44) -30711*a(n-45) +14247*a(n-46) +981*a(n-47) +11547*a(n-48) -217*a(n-49) +1020*a(n-50) +3780*a(n-51) -1840*a(n-52) -3743*a(n-53) -80*a(n-54) +316*a(n-55) +800*a(n-56) -1090*a(n-57) -430*a(n-58) -300*a(n-59) -28*a(n-60) +494*a(n-61) -435*a(n-62) +228*a(n-63) +114*a(n-64) -94*a(n-65) -12*a(n-66) +27*a(n-67) +7*a(n-68) -10*a(n-69) -a(n-70) +a(n-71) for n>72

A302457 Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 34, 44, 233, 924, 3875, 17189, 72529, 300519, 1300177, 5581703, 23688151, 101506629, 435270091, 1858384797, 7948647917, 34028063891, 145515225121, 622394004405, 2663003579907, 11391444930403, 48727840628009
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Column 5 of A302460.

Examples

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

Crossrefs

Cf. A302460.

A302458 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 65, 56, 123, 1096, 5266, 25285, 149381, 866961, 4989149, 29448808, 174000170, 1028589254, 6104229870, 36255138798, 215413837805, 1280699006422, 7616357518572, 45300797636536, 269473524141357, 1603090426149197
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Column 6 of A302460.

Examples

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

Crossrefs

Cf. A302460.

A302459 Number of nX7 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 123, 140, 1518, 8869, 61254, 404761, 2822737, 19107381, 133223036, 940543590, 6607193483, 46568712258, 329320886502, 2326854046675, 16446895955352, 116374820631423, 823487172775195, 5827287415111296, 41246655697979835
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Column 7 of A302460.

Examples

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

Crossrefs

Cf. A302460.

A302461 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 2, 18, 8, 44, 56, 140, 364, 764, 2352, 5612, 16144, 42324, 116260, 314408, 853216, 2319700, 6290064, 17095288, 46394920, 126019004, 342168972, 929215108, 2523394628, 6852508984, 18609263140, 50535852808, 137239321084, 372695225548
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Row 3 of A302460.

Examples

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

Crossrefs

Cf. A302460.

Formula

Empirical: a(n) = 2*a(n-1) +10*a(n-2) -15*a(n-3) -46*a(n-4) +49*a(n-5) +121*a(n-6) -95*a(n-7) -193*a(n-8) +123*a(n-9) +187*a(n-10) -126*a(n-11) -96*a(n-12) +78*a(n-13) +20*a(n-14) -24*a(n-15) +6*a(n-16) +20*a(n-17) -4*a(n-19) for n>20

A302462 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 3, 55, 10, 233, 123, 1518, 2945, 16711, 58462, 256863, 1039347, 4337252, 17926079, 74303683, 307706930, 1274892369, 5281342547, 21882023418, 90662172089, 375642965369, 1556440391546, 6448902902619, 26720451492533, 110713137717160
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Row 4 of A302460.

Examples

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

Crossrefs

Cf. A302460.

Formula

Empirical recurrence of order 71 (see link above)

A302463 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 6, 177, 54, 924, 1096, 8869, 29770, 176077, 900973, 5164271, 28941605, 167892727, 956288953, 5544891247, 31809794720, 183673248663, 1057734848412, 6095047064551, 35139781081312, 202439738199346, 1167093390688255
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Row 5 of A302460.

Examples

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

Crossrefs

Cf. A302460.

A302464 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 10, 474, 111, 3875, 5266, 61254, 287294, 2165323, 15547748, 114291533, 860875877, 6550030696, 49227073922, 377714794001, 2851323275703, 21791705619282, 165358440031837, 1259328242997757, 9578555045718455
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Row 6 of A302460.

Examples

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

Crossrefs

Cf. A302460.

A302465 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 21, 1397, 276, 17189, 25285, 404761, 2588958, 25019102, 250630168, 2450083168, 25229300236, 260128455530, 2666531973080, 27877141564342, 287524621822857, 2998971513860375, 31112820937223507, 323638209029725837
Offset: 1

Views

Author

R. H. Hardin, Apr 08 2018

Keywords

Comments

Row 7 of A302460.

Examples

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

Crossrefs

Cf. A302460.
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