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.

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A269057 Number of 6Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

Original entry on oeis.org

729, 8586, 90450, 1350672, 17696520, 242861616, 3193266318, 42102137568, 545920367142, 7046149966992, 90162767011920, 1148006491599288, 14536545425942976, 183300000374262900, 2302096893418466826
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2016

Keywords

Comments

Row 6 of A269052.

Examples

			Some solutions for n=3
..1..1..2. .1..0..1. .0..0..0. .0..0..2. .1..2..1. .2..0..0. .0..0..1
..2..2..2. .0..0..1. .1..0..0. .0..1..0. .1..2..1. .0..1..0. .1..0..0
..1..2..1. .1..0..0. .1..0..0. .0..0..0. .1..2..2. .0..1..0. .1..0..1
..2..2..2. .0..0..1. .1..2..1. .1..0..0. .1..0..1. .2..1..2. .1..0..1
..1..2..1. .0..1..0. .1..2..1. .1..0..1. .0..0..0. .2..2..2. .1..0..1
..2..2..2. .0..0..0. .2..2..1. .1..2..1. .0..1..0. .2..2..2. .1..0..1
		

Crossrefs

Cf. A269052.

Formula

Empirical: a(n) = 12*a(n-1) +182*a(n-2) -1820*a(n-3) -15113*a(n-4) +101664*a(n-5) +646022*a(n-6) -3003324*a(n-7) -15725808*a(n-8) +55305760*a(n-9) +234926070*a(n-10) -698528578*a(n-11) -2270736611*a(n-12) +6320752450*a(n-13) +14600825558*a(n-14) -41434331996*a(n-15) -62768577651*a(n-16) +196263429930*a(n-17) +176943063476*a(n-18) -669462409316*a(n-19) -305019512324*a(n-20) +1647405492614*a(n-21) +230358934675*a(n-22) -2942270801898*a(n-23) +243588718325*a(n-24) +3841770422896*a(n-25) -923967990222*a(n-26) -3689384232910*a(n-27) +1300617284437*a(n-28) +2614259101122*a(n-29) -1127033659748*a(n-30) -1366254718948*a(n-31) +660843537364*a(n-32) +524090586634*a(n-33) -269727615782*a(n-34) -146010681184*a(n-35) +76928224259*a(n-36) +28983533038*a(n-37) -15160113967*a(n-38) -3964319226*a(n-39) +2009807783*a(n-40) +352152984*a(n-41) -170267256*a(n-42) -18138336*a(n-43) +8296524*a(n-44) +408240*a(n-45) -176400*a(n-46) for n>48

A269058 Number of 7Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

Original entry on oeis.org

2187, 29646, 464250, 9779808, 187575858, 3726221592, 71430596250, 1369456711662, 25864594357554, 485843586726426, 9051481373536698, 167744789740348134, 3091817487227619306, 56742145362259364580
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2016

Keywords

Comments

Row 7 of A269052.

Examples

			Some solutions for n=2
..2..1. .0..0. .2..2. .2..2. .2..1. .2..2. .2..1. .2..1. .1..2. .2..2
..0..1. .0..1. .2..2. .1..0. .0..1. .1..2. .0..1. .0..1. .2..2. .1..2
..2..1. .0..0. .1..1. .1..0. .0..1. .2..2. .0..1. .2..1. .1..2. .2..2
..2..1. .1..0. .2..2. .1..0. .0..1. .1..2. .0..1. .2..1. .1..2. .2..2
..0..0. .1..0. .1..2. .1..2. .0..0. .2..2. .0..0. .0..0. .2..1. .1..2
..1..0. .2..2. .1..0. .1..2. .0..0. .2..1. .2..1. .1..0. .0..1. .2..2
..1..0. .1..2. .1..2. .1..0. .0..0. .0..1. .0..1. .0..0. .0..1. .2..1
		

Crossrefs

Cf. A269052.

Formula

Empirical recurrence of order 92 (see link above)
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