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

A301791 Number of 2Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 5, 6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, 5702888, 9227466, 14930353, 24157818, 39088170, 63245987
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Row 2 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790, A020706, A048577.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5.

A301785 Number of n X n 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 5, 12, 32, 82, 205, 508, 1258, 3129, 7837, 19782, 50310, 128803, 331592, 857434, 2224726, 5787130, 15082283, 39360630, 102820286, 268777679, 702935723, 1839002254, 4812250428, 12594535285, 32965703404, 86292668280, 225894991484
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Diagonal of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

A301786 Number of nX4 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 9, 17, 32, 61, 116, 221, 421, 802, 1528, 2911, 5546, 10566, 20130, 38351, 73065, 139201, 265201, 505252, 962589, 1833892, 3493869, 6656401, 12681550, 24160460, 46029691, 87694210, 167072042, 318300002, 606414395, 1155320189, 2201076937
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Column 4 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-4)

A301787 Number of nX5 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 14, 25, 45, 82, 150, 275, 505, 928, 1706, 3137, 5769, 10610, 19514, 35891, 66013, 121416, 223318, 410745, 755477, 1389538, 2555758, 4700771, 8646065, 15902592, 29249426, 53798081, 98950097, 181997602, 334745778, 615693475, 1132436853
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Column 5 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790, A164398.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-4).

A301788 Number of nX6 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 22, 38, 66, 116, 205, 364, 648, 1156, 2065, 3692, 6605, 11821, 21162, 37891, 67853, 121517, 217635, 389795, 698159, 1250488, 2239801, 4011830, 7185843, 12871061, 23054299, 41294302, 73965426, 132485296, 237304945, 425055875, 761351738
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Column 6 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-4) -a(n-5) -a(n-6)

A301789 Number of n X 7 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 35, 59, 100, 171, 294, 508, 881, 1532, 2670, 4661, 8147, 14254, 24957, 43721, 76625, 134335, 235566, 413157, 724732, 1271408, 2230625, 3913758, 6867218, 12049871, 21144385, 37103604, 65109365, 114255101, 200498599, 351843723
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Column 7 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-6).

A301792 Number of 3Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 13, 12, 17, 25, 38, 59, 93, 148, 237, 381, 614, 991, 1601, 2588, 4185, 6769, 10950, 17715, 28661, 46372, 75029, 121397, 196422, 317815, 514233, 832044, 1346273, 2178313, 3524582, 5702891, 9227469, 14930356, 24157821, 39088173, 63245990
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Row 3 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5

A301793 Number of 4Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 34, 24, 32, 45, 66, 100, 155, 244, 388, 621, 998, 1608, 2595, 4192, 6776, 10957, 17722, 28668, 46379, 75036, 121404, 196429, 317822, 514240, 832051, 1346280, 2178320, 3524589, 5702898, 9227476, 14930363, 24157828, 39088180, 63245997
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Row 4 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5

A301794 Number of 5Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 89, 48, 61, 82, 116, 171, 260, 404, 637, 1014, 1624, 2611, 4208, 6792, 10973, 17738, 28684, 46395, 75052, 121420, 196445, 317838, 514256, 832067, 1346296, 2178336, 3524605, 5702914, 9227492, 14930379, 24157844, 39088196, 63246013, 102334182
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Row 5 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5

A301795 Number of 6 X n 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 233, 96, 116, 150, 205, 294, 438, 671, 1048, 1658, 2645, 4242, 6826, 11007, 17772, 28718, 46429, 75086, 121454, 196479, 317872, 514290, 832101, 1346330, 2178370, 3524639, 5702948, 9227526, 14930413, 24157878, 39088230, 63246047, 102334216
Offset: 1

Views

Author

R. H. Hardin, Mar 26 2018

Keywords

Comments

Row 6 of A301790.

Examples

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

Links

Crossrefs

Cf. A301790.

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) for n > 6.
Showing 1-10 of 11 results. Next

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