A281560 Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 141, 2426, 12133, 50510, 154722, 430995, 1166392, 3018274, 7606230, 18894693, 46213637, 111557052, 266662314, 631932890, 1486100797, 3471695108, 8062900961, 18628457043, 42837660890, 98091772822, 223754231790, 508613299215

Offset

1,2

Comments

Column 5 of A281563.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +10*a(n-3) -38*a(n-4) +37*a(n-5) -5*a(n-6) +94*a(n-7) -20*a(n-8) -167*a(n-9) -113*a(n-10) -134*a(n-11) +498*a(n-12) +330*a(n-13) +105*a(n-14) -507*a(n-15) -927*a(n-16) +72*a(n-17) +503*a(n-18) +953*a(n-19) +224*a(n-20) -809*a(n-21) -464*a(n-22) -161*a(n-23) +378*a(n-24) +441*a(n-25) -162*a(n-26) -189*a(n-27) +27*a(n-28) +27*a(n-29) for n>46

Example

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

Crossrefs

Cf. A281563.

Sequence in context: A235543 A204469 A201553 * A186955 A005849 A172633

Adjacent sequences: A281557 A281558 A281559 * A281561 A281562 A281563

Keyword

nonn

Author

R. H. Hardin, Jan 24 2017

Status

approved