A260497 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

464, 683, 1756, 3603, 4471, 9616, 22405, 32471, 59657, 140464, 237023, 401358, 895127, 1674616, 2821566, 5828888, 11523967, 20018500, 38881704, 78134880, 141071185, 264423367, 527316978, 983256731, 1819268820, 3565771490

Offset

1,1

Comments

Column 4 of A260501

Links

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

Formula

Empirical: a(n) = 10*a(n-3) +12*a(n-4) -37*a(n-6) -90*a(n-7) -63*a(n-8) +73*a(n-9) +249*a(n-10) +352*a(n-11) +109*a(n-12) -356*a(n-13) -704*a(n-14) -727*a(n-15) -109*a(n-16) +691*a(n-17) +1054*a(n-18) +970*a(n-19) +201*a(n-20) -667*a(n-21) -910*a(n-22) -873*a(n-23) -339*a(n-24) +323*a(n-25) +429*a(n-26) +474*a(n-27) +289*a(n-28) -66*a(n-29) -89*a(n-30) -126*a(n-31) -125*a(n-32) +6*a(n-33) +6*a(n-34) +9*a(n-35) +30*a(n-36) +2*a(n-39) -3*a(n-40) for n>44

Example

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

Crossrefs

Cf. A260501

Sequence in context: A189830 A111697 A116344 * A254693 A247852 A233352

Adjacent sequences: A260494 A260495 A260496 * A260498 A260499 A260500

Keyword

nonn

Author

R. H. Hardin, Jul 27 2015

Status

approved