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 1-8 of 8 results.

A260833 Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

48, 131, 700, 2235, 3828, 19718, 80516, 181176, 766388, 3885356, 12122540, 43330160, 229463444, 972300920, 3559612500, 17890822312, 91527500980
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Diagonal of A260841

Examples

			Some solutions for n=4
..0..0..0..0..0..0....0..1..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..0
..1..0..0..1..1..0....0..1..0..0..1..1....1..1..0..0..1..0....0..0..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..1..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..1..0..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0....0..0..0..0..0..0
..0..0..0..0..1..0....0..1..0..0..0..1....1..1..0..0..1..1....1..0..0..1..1..0

Crossrefs

Cf. A260841

A260834 Number of (n+2)X(1+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

48, 82, 188, 364, 644, 1320, 2584, 4842, 9412, 18210, 35192, 68158, 130812, 253334, 491376, 945170, 1825292, 3533066, 6818232, 13167414, 25439060, 49131310, 94931752, 183337586, 354061772, 684091450, 1321342040, 2551947046, 4929738068
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 1 of A260841

Examples

			Some solutions for n=4
..0..0..1....1..0..0....0..0..0....0..0..0....0..1..0....1..0..0....0..0..0
..0..0..1....0..1..0....0..0..1....1..0..0....0..0..1....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0....0..0..1
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0
..0..0..1....0..1..0....1..1..0....1..0..0....0..0..0....0..0..1....1..0..1
..0..0..1....1..0..0....1..0..0....0..0..0....0..1..0....0..1..0....0..1..0

Links

Crossrefs

Cf. A260841

Formula

Empirical: a(n) = 4*a(n-3) +3*a(n-4) +4*a(n-5) +12*a(n-8) +12*a(n-9) -8*a(n-11) -12*a(n-12) -12*a(n-13) -8*a(n-14) for n>15

A260835 Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

82, 131, 288, 496, 796, 1645, 2976, 4890, 9332, 17659, 30090, 54846, 104380, 184549, 329454, 618800, 1121728, 1998197, 3692344, 6772932, 12142202, 22172787, 40769872, 73664484, 133728146, 245325455, 445857864, 808254626, 1477620470
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 2 of A260841

Examples

			Some solutions for n=4
..1..0..1..0....0..1..1..0....1..0..1..1....0..0..0..0....0..0..0..1
..0..1..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0
..1..0..0..0....0..0..0..0....1..0..0..0....1..0..0..1....0..0..0..0
..0..1..0..0....1..1..0..0....0..0..0..1....0..0..0..1....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..0
..0..0..0..0....0..0..0..0....0..1..0..1....1..1..0..1....1..1..0..0

Links

Crossrefs

Cf. A260841

Formula

Empirical: a(n) = a(n-1) +5*a(n-3) -a(n-4) -3*a(n-5) -5*a(n-6) +3*a(n-9) -2*a(n-10) -5*a(n-11) -2*a(n-12) -a(n-13) +5*a(n-14) -2*a(n-15) -2*a(n-17) +2*a(n-18) for n>19

A260836 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

188, 288, 700, 1224, 1560, 3470, 6908, 10070, 18716, 39478, 64940, 111162, 228324, 409632, 690964, 1345662, 2532216, 4354216, 8095220, 15462342, 27373920, 49529004, 94027168, 170716994, 306172260, 572849570, 1056328308, 1900057106
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 3 of A260841

Examples

			Some solutions for n=4
..1..0..1..0..0....0..0..0..0..0....0..0..0..0..1....1..0..0..0..1
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....1..0..0..1..1
..1..0..0..0..0....1..1..0..0..1....1..1..0..0..0....0..0..0..0..0
..0..0..0..1..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0
..0..0..0..1..0....0..0..0..0..0....0..0..0..0..1....1..1..0..0..1
..1..0..0..0..0....0..0..1..1..0....0..1..0..0..0....1..0..0..0..0

Links

Crossrefs

Cf. A260841

Formula

Empirical: a(n) = 6*a(n-3) +6*a(n-4) -9*a(n-6) -16*a(n-7) -10*a(n-8) +4*a(n-9) +7*a(n-10) +6*a(n-12) +8*a(n-14) +10*a(n-15) +2*a(n-16) +4*a(n-17) +4*a(n-19) +3*a(n-20) +2*a(n-22) for n>24

A260837 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

364, 496, 1224, 2235, 2590, 6232, 13170, 17731, 34192, 77780, 123488, 206695, 457440, 825256, 1336836, 2725379, 5298108, 8851516, 16674798, 33192375, 58277638, 104857040, 206110260, 377809047, 671142648, 1283474236, 2413960656
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 4 of A260841

Examples

			Some solutions for n=4
..0..1..0..0..0..0....1..0..0..0..0..1....1..1..0..0..0..1....1..1..0..0..0..1
..0..0..0..0..1..1....0..1..0..0..1..1....0..1..0..0..1..0....0..1..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..1..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..1..1....0..1..0..0..1..1....1..1..0..0..1..0....1..1..0..0..1..0
..0..0..0..0..0..0....0..1..0..0..0..1....1..0..0..0..0..1....1..0..0..0..1..0

Links

Crossrefs

Cf. A260841

Formula

Empirical: a(n) = a(n-1) +a(n-2) +6*a(n-3) -a(n-4) -12*a(n-5) -15*a(n-6) +2*a(n-7) +18*a(n-8) +28*a(n-9) -3*a(n-10) -28*a(n-11) -a(n-12) +9*a(n-13) +12*a(n-14) +10*a(n-15) -19*a(n-16) -36*a(n-17) +4*a(n-18) +10*a(n-19) -4*a(n-20) +23*a(n-21) +a(n-22) -20*a(n-23) +9*a(n-24) +10*a(n-25) -4*a(n-26) +6*a(n-27) +8*a(n-28) -14*a(n-29) +2*a(n-31) -5*a(n-32) +3*a(n-33) for n>34

A260838 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

644, 796, 1560, 2590, 3828, 8646, 16000, 24508, 49816, 103124, 168848, 309802, 649200, 1162556, 2036072, 4109542, 7787612, 13696344, 26404180, 51320598, 92306500, 172258250, 335370864, 618838306, 1136886200, 2187906876, 4116117684
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 5 of A260841

Examples

			Some solutions for n=4
..1..0..0..0..0..0..1....0..0..1..0..0..1..1....1..0..0..0..1..0..0
..0..0..0..1..0..0..0....0..0..1..0..0..1..0....1..1..0..0..1..0..0
..0..0..0..1..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..1..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..1....1..1..0..0..1..0..0....1..0..0..1..0..0..1
..1..0..1..1..0..0..0....0..0..0..0..1..0..0....1..0..0..1..0..0..0

Links

Crossrefs

Cf. A260841

Formula

Empirical: a(n) = a(n-1) -a(n-2) +9*a(n-3) +6*a(n-4) -6*a(n-5) -16*a(n-6) -76*a(n-7) -21*a(n-8) +49*a(n-9) +157*a(n-10) +285*a(n-11) +73*a(n-12) -293*a(n-13) -493*a(n-14) -729*a(n-15) -129*a(n-16) +827*a(n-17) +816*a(n-18) +1268*a(n-19) +240*a(n-20) -1378*a(n-21) -504*a(n-22) -1772*a(n-23) -458*a(n-24) +1328*a(n-25) -281*a(n-26) +1801*a(n-27) +864*a(n-28) -856*a(n-29) +1053*a(n-30) -799*a(n-31) -958*a(n-32) +266*a(n-33) -1759*a(n-34) -689*a(n-35) -190*a(n-36) +1158*a(n-37) +925*a(n-38) +2065*a(n-39) +1168*a(n-40) -1992*a(n-41) +631*a(n-42) -2275*a(n-43) -927*a(n-44) +1309*a(n-45) -893*a(n-46) +1275*a(n-47) +371*a(n-48) -451*a(n-49) +409*a(n-50) -375*a(n-51) -87*a(n-52) +87*a(n-53) -93*a(n-54) +57*a(n-55) +7*a(n-56) -7*a(n-57) +7*a(n-58) -3*a(n-59) for n>63

A260839 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

1320, 1645, 3470, 6232, 8646, 19718, 37882, 58489, 116930, 248515, 412314, 751247, 1604892, 2935059, 5115588, 10451412, 20331520, 35935935, 69439734, 138338285, 252687084, 471920997, 934503484, 1761244126, 3253322750, 6325629935
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 6 of A260841

Examples

			Some solutions for n=4
..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1....0..0..0..1..1..0..0..0
..0..0..0..0..0..0..1..1....0..0..1..1..0..0..1..0....1..0..0..0..0..0..0..1
..0..0..1..1..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..1..1..0..0..0
..0..0..0..0..0..0..1..1....0..0..1..0..0..1..0..0....1..0..0..0..0..0..0..0
..0..0..1..1..0..0..0..0....0..0..1..0..0..1..0..0....0..0..0..0..0..0..0..1

Links

Crossrefs

Cf. A260841

Formula

Empirical recurrence of order 92 (see link above)

A260840 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

Original entry on oeis.org

2584, 2976, 6908, 13170, 16000, 37882, 80516, 119194, 231008, 526102, 890868, 1551098, 3444912, 6540148, 11105704, 22909488, 46468620, 81665548, 156797736, 323324270, 597713676, 1104974160, 2236199980, 4307963032, 7924411232
Offset: 1

Views

Author

R. H. Hardin, Aug 01 2015

Keywords

Comments

Column 7 of A260841

Examples

			Some solutions for n=4
..1..1..0..0..1..0..0..0..0....0..1..0..0..1..0..0..1..0
..0..1..0..0..0..0..0..1..1....0..1..0..0..1..0..0..0..0
..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0
..0..0..0..0..1..0..0..0..0....0..0..0..0..0..0..0..1..1
..0..1..0..0..1..0..0..1..0....0..1..0..0..1..0..0..0..0
..1..0..0..0..0..0..0..0..1....1..1..0..0..1..0..0..0..0

Links

Crossrefs

Cf. A260841
Showing 1-8 of 8 results.

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