A304131 Number of n X 6 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero.

13, 49, 53, 140, 320, 651, 1321, 2673, 5293, 10668, 21704, 43407, 86685, 174463, 350613, 704014, 1416102, 2846067, 5718303, 11503925, 23146779, 46553188, 93651586, 188449221, 379193323, 763054735, 1535660833, 3090522976, 6219809542

Offset

1,1

Comments

Column 6 of A304133.

Links

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

Formula

Empirical: a(n) = 19*a(n-3) +6*a(n-4) +9*a(n-5) -153*a(n-6) -90*a(n-7) -157*a(n-8) +652*a(n-9) +559*a(n-10) +1181*a(n-11) -1404*a(n-12) -1792*a(n-13) -5054*a(n-14) +300*a(n-15) +2686*a(n-16) +13604*a(n-17) +7007*a(n-18) +884*a(n-19) -23893*a(n-20) -21475*a(n-21) -12130*a(n-22) +27170*a(n-23) +34384*a(n-24) +25529*a(n-25) -18535*a(n-26) -34229*a(n-27) -29564*a(n-28) +5242*a(n-29) +21519*a(n-30) +21219*a(n-31) +2161*a(n-32) -7919*a(n-33) -9483*a(n-34) -2452*a(n-35) +1164*a(n-36) +2492*a(n-37) +820*a(n-38) +248*a(n-39) -332*a(n-40) -96*a(n-41) -128*a(n-42) +16*a(n-43) +16*a(n-45) for n>48.

Example

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

Crossrefs

Cf. A304133.

Sequence in context: A156694 A080171 A303680 * A304219 A305480 A044115

Adjacent sequences: A304128 A304129 A304130 * A304132 A304133 A304134

Keyword

nonn

Author

R. H. Hardin, May 07 2018

Status

approved