A318543 Number of nX6 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

13, 15, 52, 207, 784, 2905, 10496, 38721, 144148, 531780, 1960675, 7241505, 26745797, 98766587, 364682042, 1346615672, 4972655637, 18362061797, 67803976370, 250374735252, 924538580895, 3413971260050, 12606503235153

Offset

1,1

Comments

Column 6 of A318545.

Links

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

Formula

Empirical: a(n) = a(n-1) +24*a(n-3) +20*a(n-4) +96*a(n-5) +2*a(n-6) +103*a(n-7) -209*a(n-8) -11*a(n-9) -287*a(n-10) +65*a(n-11) +298*a(n-12) -154*a(n-13) +475*a(n-14) +73*a(n-15) -898*a(n-16) -83*a(n-17) +533*a(n-18) +215*a(n-19) -197*a(n-20) -209*a(n-21) +353*a(n-22) +119*a(n-23) -885*a(n-24) +190*a(n-25) +1077*a(n-26) -441*a(n-27) -760*a(n-28) +403*a(n-29) +336*a(n-30) -210*a(n-31) -91*a(n-32) +66*a(n-33) +14*a(n-34) -12*a(n-35) -a(n-36) +a(n-37) for n>38

Example

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

Crossrefs

Cf. A318545.

Sequence in context: A108257 A217252 A299593 * A302001 A109018 A237912

Adjacent sequences: A318540 A318541 A318542 * A318544 A318545 A318546

Keyword

nonn

Author

R. H. Hardin, Aug 28 2018

Status

approved