A306163 Number of n X 5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

16, 22, 77, 298, 1188, 4849, 19176, 75681, 302442, 1206813, 4795820, 19085600, 76040894, 302757556, 1205122061, 4798221285, 19105177194, 76064307634, 302837274327, 1205735288772, 4800572406260, 19113025859945, 76096927209491

Offset

1,1

Comments

Column 5 of A306166.

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) -18*a(n-4) -91*a(n-5) -147*a(n-6) +121*a(n-7) +669*a(n-8) +497*a(n-9) -719*a(n-10) -1587*a(n-11) -720*a(n-12) +1486*a(n-13) +2865*a(n-14) +267*a(n-15) -2474*a(n-16) -2477*a(n-17) -1036*a(n-18) +2694*a(n-19) +2715*a(n-20) +347*a(n-21) -2258*a(n-22) -1637*a(n-23) -370*a(n-24) +1054*a(n-25) +1546*a(n-26) +270*a(n-27) -379*a(n-28) -524*a(n-29) -448*a(n-30) -10*a(n-31) +62*a(n-32) +172*a(n-33) +77*a(n-34) +17*a(n-35) +17*a(n-36) -44*a(n-37) -2*a(n-38) +2*a(n-39) -4*a(n-40) for n>47.

Example

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

Crossrefs

Cf. A306166.

Sequence in context: A316417 A100999 A304923 * A317380 A070572 A176657

Adjacent sequences: A306160 A306161 A306162 * A306164 A306165 A306166

Keyword

nonn

Author

R. H. Hardin, Jun 23 2018

Status

approved