A299224 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

2, 61, 628, 5663, 51862, 486305, 4532025, 42210111, 393354513, 3665540260, 34156287528, 318279356683, 2965838291898, 27636672383375, 257527745652155, 2399729999704478, 22361489149827987, 208371854494502461

Offset

1,1

Comments

Column 4 of A299228.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +10*a(n-2) +56*a(n-3) -203*a(n-4) -967*a(n-5) -1599*a(n-6) -306*a(n-7) +13357*a(n-8) +22549*a(n-9) +31178*a(n-10) -83309*a(n-11) -162226*a(n-12) -264159*a(n-13) +263535*a(n-14) +610742*a(n-15) +1107070*a(n-16) +51242*a(n-17) -80850*a(n-18) -556862*a(n-19) -37820*a(n-20) -3297808*a(n-21) -5672783*a(n-22) -6349408*a(n-23) +8730*a(n-24) +4479264*a(n-25) +6070656*a(n-26) +6316587*a(n-27) +11010346*a(n-28) +14031549*a(n-29) +7970488*a(n-30) -595394*a(n-31) -8486885*a(n-32) -8903264*a(n-33) -7863100*a(n-34) -16214548*a(n-35) -7990141*a(n-36) -5093572*a(n-37) -442625*a(n-38) +2985779*a(n-39) +2101405*a(n-40) +2884148*a(n-41) +435040*a(n-42) +998805*a(n-43) +634665*a(n-44) -37051*a(n-45) +2313*a(n-46) -57573*a(n-47) +10002*a(n-48) -124*a(n-49) for n>51

Example

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

Crossrefs

Cf. A299228.

Sequence in context: A297919 A298543 A298333 * A037065 A065589 A190681

Adjacent sequences: A299221 A299222 A299223 * A299225 A299226 A299227

Keyword

nonn

Author

R. H. Hardin, Feb 05 2018

Status

approved