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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A269040 Number of 6 X n 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

Original entry on oeis.org

0, 7128, 67104, 1114848, 14710368, 208867428, 2783857776, 37310632920, 488972134752, 6374741325108, 82212554730696, 1054083281172600, 13425573904100400, 170167484580493980, 2146806101503300608
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2016

Keywords

Comments

Row 6 of A269035.

Examples

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

Crossrefs

Cf. A269035.

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.

A269041 Number of 7Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

Original entry on oeis.org

0, 25272, 357756, 8277072, 159397596, 3266423688, 63310818360, 1232016734502, 23480085224460, 445037745455958, 8347562556153996, 155656709783860410, 2883687582601214532, 53163977044543395168, 975616567564729165860
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2016

Keywords

Comments

Row 7 of A269035.

Examples

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

Crossrefs

Cf. A269035.

Formula

Empirical recurrence of order 92 (see link above)
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