A261112 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

547, 1546, 7284, 27030, 121313, 449132, 2037285, 7510472, 33972401, 125487988, 568045019, 2096976610, 9490614285, 35040037216, 158593916209, 585528496338, 2650104686942, 9784190038600, 44283559200132, 163495032625670

Offset

1,1

Comments

Column 7 of A261113

Links

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

Formula

Empirical: a(n) = 9*a(n-2) +117*a(n-4) +232*a(n-6) -453*a(n-8) -2222*a(n-10) +4157*a(n-12) -4373*a(n-14) +31514*a(n-16) -108786*a(n-18) +199500*a(n-20) -228491*a(n-22) +167917*a(n-24) -76526*a(n-26) +21086*a(n-28) -3000*a(n-30) +634*a(n-32) +1184*a(n-34) -1009*a(n-36) -616*a(n-38) +123*a(n-40) +125*a(n-42) +43*a(n-44) +9*a(n-46) +a(n-48) for n>49

Example

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

Crossrefs

Cf. A261113

Sequence in context: A347203 A378966 A176089 * A219082 A123099 A263524

Adjacent sequences: A261109 A261110 A261111 * A261113 A261114 A261115

Keyword

nonn

Author

R. H. Hardin, Aug 08 2015

Status

approved