A268749 Number of nX7 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.

72, 1760, 44067, 1016807, 22577073, 487682438, 10319681062, 215027310572, 4425392044505, 90177748184504, 1822495416470859, 36579128848735042, 729860195814419706, 14489046573912834959, 286363070886993749567

Offset

1,1

Comments

Column 7 of A268750.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +325*a(n-2) -4074*a(n-3) -48747*a(n-4) +201072*a(n-5) +2225020*a(n-6) -6248320*a(n-7) -47573325*a(n-8) +135873052*a(n-9) +512366407*a(n-10) -1794441336*a(n-11) -2517416282*a(n-12) +13453431136*a(n-13) +1270823811*a(n-14) -55187301646*a(n-15) +38695555999*a(n-16) +115237077158*a(n-17) -158181613013*a(n-18) -96178246900*a(n-19) +263575852534*a(n-20) -18739881048*a(n-21) -224653932202*a(n-22) +90835575680*a(n-23) +105290165907*a(n-24) -69076575582*a(n-25) -27720217521*a(n-26) +26811874806*a(n-27) +3877126783*a(n-28) -6197138172*a(n-29) -207452034*a(n-30) +895782500*a(n-31) -10034133*a(n-32) -81777708*a(n-33) +1520627*a(n-34) +4630616*a(n-35) -28132*a(n-36) -153828*a(n-37) -2195*a(n-38) +2658*a(n-39) +93*a(n-40) -18*a(n-41) -a(n-42)

Example

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

Crossrefs

Cf. A268750.

Sequence in context: A352994 A234209 A280807 * A008659 A263974 A344029

Adjacent sequences: A268746 A268747 A268748 * A268750 A268751 A268752

Keyword

nonn

Author

R. H. Hardin, Feb 12 2016

Status

approved