A209654 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically

14, 196, 966, 3276, 15386, 61754, 287140, 1247736, 5805450, 26247900, 122620446, 566352486, 2658874036, 12435237724, 58661967966, 276563762860, 1310299936722, 6211941942146, 29540255436804, 140624053199280, 670822454889090

Offset

1,1

Comments

Row 7 of A209650

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -17*a(n-2) -754*a(n-3) +2878*a(n-4) +16186*a(n-5) -93370*a(n-6) -189146*a(n-7) +1639426*a(n-8) +1204022*a(n-9) -18805282*a(n-10) -2292182*a(n-11) +152576908*a(n-12) -28963300*a(n-13) -912064552*a(n-14) +308639746*a(n-15) +4101425146*a(n-16) -1601886466*a(n-17) -13987156774*a(n-18) +5410333402*a(n-19) +36132409294*a(n-20) -12837363742*a(n-21) -70095351814*a(n-22) +22168488862*a(n-23) +100539442517*a(n-24) -28492814059*a(n-25) -104090698583*a(n-26) +27535964120*a(n-27) +74934038256*a(n-28) -19682095616*a(n-29) -35224075008*a(n-30) +9752617152*a(n-31) +9586454976*a(n-32) -2904906240*a(n-33) -1119744000*a(n-34) +373248000*a(n-35) for n>36

Example

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

Crossrefs

Sequence in context: A207120 A207963 A207502 * A207074 A207407 A207708

Adjacent sequences: A209651 A209652 A209653 * A209655 A209656 A209657

Keyword

nonn

Author

R. H. Hardin Mar 11 2012

Status

approved