A299138 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

2, 64, 899, 11179, 143548, 1850266, 23808476, 306389599, 3942948157, 50742301057, 653008378352, 8403637443308, 108147349359549, 1391760325555663, 17910719161925156, 230495046446621416, 2966266510949018995

Offset

1,1

Comments

Column 4 of A299142.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +15*a(n-2) -33*a(n-3) -170*a(n-4) -418*a(n-5) -831*a(n-6) +290*a(n-7) +4188*a(n-8) +6777*a(n-9) +14211*a(n-10) +16195*a(n-11) +26645*a(n-12) -10951*a(n-13) -43014*a(n-14) +25645*a(n-15) +64072*a(n-16) -55702*a(n-17) -65256*a(n-18) -6799*a(n-19) +41979*a(n-20) +5773*a(n-21) -34173*a(n-22) -26481*a(n-23) -40556*a(n-24) -33028*a(n-25) -12415*a(n-26) +1169*a(n-27) +779*a(n-28) -497*a(n-29) -106*a(n-30) +80*a(n-31) +63*a(n-32) +14*a(n-33) for n>34

Example

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

Crossrefs

Cf. A299142.

Sequence in context: A274656 A298276 A299369 * A299933 A299063 A299835

Adjacent sequences: A299135 A299136 A299137 * A299139 A299140 A299141

Keyword

nonn

Author

R. H. Hardin, Feb 03 2018

Status

approved