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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A268750.
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)
Comments