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A302529 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 2
0, 10, 28, 42, 100, 290, 730, 1700, 4246, 10758, 26632, 65846, 164130, 408716, 1015998, 2527374, 6288152, 15643694, 38924730, 96845564, 240934118, 599472054, 1491590968, 3711076182, 9233281458, 22973573260, 57160260398, 142218013758 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A302528.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +6*a(n-3) -10*a(n-4) -24*a(n-5) +37*a(n-6) -22*a(n-7) +72*a(n-8) +18*a(n-9) -108*a(n-10) +24*a(n-11) -24*a(n-12) +24*a(n-13) +8*a(n-14) -8*a(n-15) for n>17

EXAMPLE

Some solutions for n=5

..0..1..0..1..0. .0..0..1..0..0. .0..1..0..1..0. .0..0..0..0..0

..1..0..1..0..1. .0..0..1..1..1. .0..0..1..0..0. .0..0..0..0..0

..0..1..0..1..0. .0..1..0..0..1. .0..1..0..1..0. .1..1..1..1..0

CROSSREFS

Cf. A302528.

Sequence in context: A022422 A113962 A031105 * A054501 A112353 A031077

Adjacent sequences:  A302526 A302527 A302528 * A302530 A302531 A302532

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 09 2018

STATUS

approved

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Last modified January 28 03:49 EST 2020. Contains 331317 sequences. (Running on oeis4.)