A304923 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero.

16, 22, 73, 266, 1054, 4186, 16158, 63555, 251536, 988178, 3881249, 15283765, 60169598, 236666582, 931151693, 3664515375, 14419463010, 56735373146, 223247607871, 878464272129, 3456612805830, 13601219460000, 53519079374945

Offset

1,1

Comments

Column 5 of A304926.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-2) +15*a(n-3) -21*a(n-4) -101*a(n-5) -119*a(n-6) +168*a(n-7) +750*a(n-8) +338*a(n-9) -1047*a(n-10) -1984*a(n-11) -170*a(n-12) +2290*a(n-13) +3270*a(n-14) -457*a(n-15) -3277*a(n-16) -3185*a(n-17) +659*a(n-18) +2939*a(n-19) +2559*a(n-20) -532*a(n-21) -2150*a(n-22) -1076*a(n-23) +37*a(n-24) +823*a(n-25) +638*a(n-26) -122*a(n-27) -97*a(n-28) -116*a(n-29) -96*a(n-30) +59*a(n-31) -2*a(n-32) -8*a(n-33) +10*a(n-34) for n>41

Example

Some solutions for n=5
..0..1..0..0..0. .0..0..0..1..0. .0..1..0..0..0. .0..0..0..0..0
..0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..0. .1..0..0..1..1
..0..0..0..0..0. .0..0..0..0..0. .0..0..1..0..1. .0..0..0..1..1
..0..0..0..0..1. .0..1..1..0..0. .0..1..0..0..0. .1..0..0..0..0
..0..0..1..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

Crossrefs

Cf. A304926.

Sequence in context: A322344 A316417 A100999 * A306163 A317380 A070572

Adjacent sequences: A304920 A304921 A304922 * A304924 A304925 A304926

Keyword

nonn

Author

R. H. Hardin, May 21 2018

Status

approved