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A301396 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
0, 4, 13, 78, 446, 2619, 15538, 92338, 549096, 3267591, 19445455, 115733520, 688822904, 4099797460, 24401669153, 145237096500, 864442371855, 5145110443481, 30623402361787, 182268749291468, 1084853268325407 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A301400.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -a(n-2) -34*a(n-3) +14*a(n-4) +34*a(n-5) -129*a(n-6) +186*a(n-7) -52*a(n-8) -1057*a(n-9) +1244*a(n-10) +2133*a(n-11) +561*a(n-12) +8661*a(n-13) +4793*a(n-14) -4904*a(n-15) +3451*a(n-16) -22982*a(n-17) -52529*a(n-18) -23037*a(n-19) -99878*a(n-20) -14585*a(n-21) -33823*a(n-22) -37658*a(n-23) +44514*a(n-24) -47595*a(n-25) +17462*a(n-26) +9809*a(n-27) -27359*a(n-28) +26878*a(n-29) -14305*a(n-30) +6310*a(n-31) -2584*a(n-32) +2798*a(n-33) -2854*a(n-34) +2226*a(n-35) -690*a(n-36) -164*a(n-37) +348*a(n-38) -188*a(n-39) -77*a(n-40) +167*a(n-41) -139*a(n-42) +73*a(n-43) -24*a(n-44) +4*a(n-45)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A301400.

Sequence in context: A012075 A197942 A140417 * A221512 A061143 A123333

Adjacent sequences:  A301393 A301394 A301395 * A301397 A301398 A301399

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 20 2018

STATUS

approved

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Last modified October 18 20:26 EDT 2019. Contains 328197 sequences. (Running on oeis4.)