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

A302510 Number of n X 3 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 3, 11, 9, 14, 21, 28, 37, 51, 72, 100, 137, 188, 260, 360, 497, 685, 945, 1305, 1802, 2487, 3432, 4737, 6539, 9026, 12458, 17195, 23734, 32760, 45218, 62413, 86147, 118907, 164125, 226538, 312685, 431592, 595717, 822255, 1134940, 1566532
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Examples

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

Crossrefs

Column 3 of A302515.

Formula

Empirical: a(n) = a(n-1) +a(n-4) for n>7.

A302511 Number of nX4 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 5, 15, 28, 48, 89, 163, 297, 544, 1004, 1848, 3393, 6237, 11481, 21122, 38834, 71418, 131383, 241665, 444451, 817450, 1503590, 2765570, 5086571, 9355603, 17207807, 31650188, 58213496, 107071156, 196935005, 362220199, 666226093, 1225380420
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Column 4 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +2*a(n-3) +2*a(n-4) -a(n-6) -a(n-7) for n>10

A302512 Number of nX5 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 7, 21, 36, 90, 184, 376, 832, 1744, 3684, 7908, 16724, 35532, 75700, 160628, 341460, 726132, 1542596, 3278948, 6969732, 14811684, 31481860, 66911620, 142208964, 302253508, 642403076, 1365342212, 2901889028, 6167616388, 13108516100
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Column 5 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

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

A302513 Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 13, 52, 80, 199, 458, 1088, 2651, 6257, 14765, 35292, 84261, 200040, 475278, 1132373, 2696179, 6411133, 15251746, 36304757, 86394322, 205538228, 489069395, 1163851093, 2769397039, 6589505584, 15679835445, 37311095302, 88781699786
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Column 6 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +6*a(n-3) +5*a(n-4) +3*a(n-5) -8*a(n-6) -6*a(n-7) -3*a(n-8) for n>12

A302514 Number of nX7 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 23, 118, 235, 689, 1784, 4558, 12324, 32336, 84536, 223968, 588744, 1548844, 4083686, 10742086, 28288776, 74511660, 196104792, 516398498, 1359816012, 3579887214, 9426059034, 24819072446, 65345909914, 172055547718, 453015967754
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Column 7 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +12*a(n-3) +11*a(n-5) -38*a(n-6) -5*a(n-7) -17*a(n-8) +27*a(n-9) -32*a(n-10) +12*a(n-11) +16*a(n-12) +24*a(n-13) +16*a(n-15) for n>21

A302516 Number of 3 X n 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 4, 11, 15, 21, 52, 118, 220, 408, 852, 1764, 3460, 6796, 13732, 27708, 55140, 109788, 220132, 441244, 881380, 1760796, 3523812, 7051548, 14098660, 28189468, 56387812, 112791324, 225564900, 451098396, 902232292, 1804527388, 3608983780
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Row 3 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +2*a(n-3) +4*a(n-4) for n>7.

A302517 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 6, 9, 28, 36, 80, 235, 541, 1115, 2554, 6095, 13920, 31216, 71431, 164589, 375943, 856294, 1957963, 4481840, 10241792, 23394379, 53477141, 122262891, 279435298, 638618663, 1459697640, 3336520448, 7626024455, 17430072821, 39839300103
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Row 4 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +5*a(n-4) -a(n-5) -5*a(n-6) -4*a(n-7) for n>10

A302518 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 9, 14, 48, 90, 199, 689, 2125, 5410, 13908, 39850, 114503, 312683, 845807, 2344052, 6547828, 18092168, 49718487, 137265089, 380242741, 1051385042, 2901539840, 8012628856, 22150069687, 61220830095, 169117170519, 467176484780
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Row 5 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +20*a(n-4) +7*a(n-5) -2*a(n-6) -6*a(n-7) -40*a(n-8) -6*a(n-9) -2*a(n-10) -2*a(n-11) +22*a(n-12) -5*a(n-13) for n>17

A302519 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 14, 21, 89, 184, 458, 1784, 7182, 22544, 67096, 220654, 775150, 2587038, 8302004, 27025136, 90376752, 301153260, 989265746, 3244058002, 10719499408, 35505656166, 117195031890, 386021758650, 1273341893876, 4206241844100
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Row 6 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +3*a(n-3) +46*a(n-4) +32*a(n-5) -18*a(n-6) -33*a(n-7) -230*a(n-8) -144*a(n-9) +146*a(n-10) +151*a(n-11) +360*a(n-12) +319*a(n-13) -195*a(n-14) -371*a(n-15) -150*a(n-16) -170*a(n-17) +50*a(n-18) +96*a(n-19) -45*a(n-20) +87*a(n-21) -3*a(n-22) -9*a(n-23) for n>29

A302520 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 22, 28, 163, 376, 1088, 4558, 23944, 95681, 344525, 1302832, 5550086, 23153940, 91082448, 353017903, 1418215128, 5785509156, 23250191623, 92140078093, 367162912762, 1476616246378, 5935545674594, 23726268173317, 94734366451064
Offset: 1

Views

Author

R. H. Hardin, Apr 09 2018

Keywords

Comments

Row 7 of A302515.

Examples

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

Crossrefs

Cf. A302515.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) +124*a(n-4) +113*a(n-5) +37*a(n-6) -47*a(n-7) -2901*a(n-8) -2868*a(n-9) +1875*a(n-10) +1261*a(n-11) +23265*a(n-12) +25593*a(n-13) -20268*a(n-14) -3073*a(n-15) -107075*a(n-16) -94478*a(n-17) +62944*a(n-18) -76347*a(n-19) +312669*a(n-20) +13413*a(n-21) -39205*a(n-22) +181202*a(n-23) -498359*a(n-24) +274119*a(n-25) -94414*a(n-26) -149744*a(n-27) +474263*a(n-28) -414929*a(n-29) +213390*a(n-30) +15865*a(n-31) -247470*a(n-32) +277066*a(n-33) -158702*a(n-34) +55846*a(n-35) +49720*a(n-36) -84556*a(n-37) +33873*a(n-38) -14054*a(n-39) -8001*a(n-40) +7808*a(n-41) -664*a(n-42) +901*a(n-43) +3003*a(n-44) +424*a(n-45) -703*a(n-46) -236*a(n-47) -92*a(n-48) -40*a(n-49) -4*a(n-50) for n>55
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