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

A303237 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 11, 18, 55, 181, 494, 1465, 4415, 12934, 38423, 114145, 337914, 1003161, 2976083, 8824906, 26185191, 77678573, 230413110, 683562697, 2027805127, 6015399582, 17845009895, 52937661977, 157040038306, 465863595657, 1381994981979
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Column 3 of A303242.

Examples

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

Crossrefs

Cf. A303242.

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +16*a(n-3) -36*a(n-4) +32*a(n-5) -63*a(n-6) +64*a(n-7) -51*a(n-8) +4*a(n-9) +60*a(n-10) +16*a(n-11) +112*a(n-12) +64*a(n-13)

A303238 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 13, 8, 10, 61, 160, 458, 1748, 6056, 20975, 76565, 277934, 1007900, 3682461, 13473650, 49327443, 180826119, 663368564, 2434697476, 8939173919, 32829758366, 120594251282, 443046818432, 1627867352002, 5981695596761, 21981441331135
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Column 4 of A303242.

Examples

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

Crossrefs

Cf. A303242.

Formula

Empirical: a(n) = 6*a(n-1) -9*a(n-2) +21*a(n-3) -90*a(n-4) +46*a(n-5) -59*a(n-6) +498*a(n-7) +303*a(n-8) +2*a(n-9) -1395*a(n-10) -2312*a(n-11) -1830*a(n-12) +300*a(n-13) +2761*a(n-14) +3874*a(n-15) +8613*a(n-16) +16030*a(n-17) +21048*a(n-18) +7631*a(n-19) -27333*a(n-20) -67369*a(n-21) -75208*a(n-22) -16509*a(n-23) +47108*a(n-24) +59837*a(n-25) -35435*a(n-26) -119978*a(n-27) -82030*a(n-28) +115336*a(n-29) +248334*a(n-30) +137434*a(n-31) -175587*a(n-32) -360401*a(n-33) -165267*a(n-34) +287056*a(n-35) +566786*a(n-36) +354913*a(n-37) -61815*a(n-38) -419239*a(n-39) -359737*a(n-40) -69994*a(n-41) +152964*a(n-42) +111152*a(n-43) -23478*a(n-44) -121548*a(n-45) -86411*a(n-46) -6136*a(n-47) +64103*a(n-48) +63614*a(n-49) +31252*a(n-50) -324*a(n-51) -23046*a(n-52) -6881*a(n-53) +7713*a(n-54) +385*a(n-55) +2034*a(n-56) +2535*a(n-57) -1116*a(n-58) -2600*a(n-59) -1588*a(n-60) -112*a(n-61) +798*a(n-62) +676*a(n-63) -124*a(n-64) -253*a(n-65) -10*a(n-66) +66*a(n-67) +9*a(n-68) -13*a(n-69) -a(n-70) +a(n-71) for n>72

A303239 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 34, 60, 255, 1106, 5158, 23995, 108726, 506416, 2400455, 11206914, 52620426, 248789167, 1172758534, 5532271468, 26154017151, 123634836850, 584566350050, 2765874355363, 13089996381214, 61961733243948, 293379713085303
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Column 5 of A303242.

Examples

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

Crossrefs

Cf. A303242.

A303240 Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 65, 56, 149, 1373, 7823, 41878, 277018, 1721671, 10607292, 67278868, 424616777, 2676699369, 16945268476, 107280325551, 679285054896, 4304451618590, 27282048865071, 172940738855024, 1096476824922147, 6952546132868710
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Column 6 of A303242.

Examples

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

Crossrefs

Cf. A303242.

A303241 Number of nX7 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 123, 236, 1676, 11111, 90728, 686376, 5320294, 42575026, 345713805, 2801331069, 22819881078, 186805008216, 1528961515269, 12526736579284, 102761508859349, 843215927212293, 6920803923723062, 56822359222413226, 466601882566586351
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Column 7 of A303242.

Examples

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

Crossrefs

Cf. A303242.

A303243 Number of 3 X n 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 2, 18, 8, 60, 56, 236, 428, 1248, 3264, 8624, 24720, 65816, 187464, 509576, 1428608, 3932112, 10932480, 30245800, 83854984, 232353544, 643805072, 1784418352, 4944349600, 13703715720, 37974373160, 105243781928, 291657188656
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Row 3 of A303242.

Examples

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

Crossrefs

Cf. A303242.

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-2) -28*a(n-3) -37*a(n-4) +117*a(n-5) +85*a(n-6) -280*a(n-7) -118*a(n-8) +424*a(n-9) +92*a(n-10) -428*a(n-11) -26*a(n-12) +300*a(n-13) +12*a(n-14) -172*a(n-15) +48*a(n-16) +24*a(n-17) -48*a(n-18) +8*a(n-20).

A303244 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 3, 55, 10, 255, 149, 1676, 3307, 18505, 65498, 290437, 1198777, 5087180, 21490967, 90839013, 384340750, 1625471539, 6876513885, 29091034026, 123070552817, 520674602677, 2202800218342, 9319394664521, 39427619066391, 166806435914930
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Row 4 of A303242.

Examples

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

Crossrefs

Cf. A303242.

Formula

Empirical recurrence of order 67 (see link above)

A303245 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 6, 181, 61, 1106, 1373, 11111, 38480, 221943, 1162591, 6612354, 37797923, 222063807, 1285446882, 7608314073, 44383042633, 261786226112, 1535739151907, 9031702593457, 53103496045060, 312053768598165, 1835371700840177
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Row 5 of A303242.

Examples

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

Crossrefs

Cf. A303242.

A303246 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 10, 494, 160, 5158, 7823, 90728, 421983, 3251872, 23282610, 175055099, 1340813633, 10458371398, 80508035855, 634752883979, 4921023633814, 38687814219982, 301834276228660, 2365262885917076, 18505872453909054
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Row 6 of A303242.

Examples

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

Crossrefs

Cf. A303242.

A303247 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 21, 1465, 458, 23995, 41878, 686376, 4288552, 44547581, 435326091, 4420070682, 46247239309, 488935478096, 5159966424970, 55400725550050, 589318077173963, 6332575656503077, 67765552380120662, 727276471899440959
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2018

Keywords

Comments

Row 7 of A303242.

Examples

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

Crossrefs

Cf. A303242.
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