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A302268 Number of 4 X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 128, 818, 5922, 40296, 284428, 1984001, 13858979, 96989344, 677924227, 4741556252, 33160693907, 231908861764, 1621957375639, 11343626172102, 79335892155345, 554866483249174, 3880672405834657, 27141030302203992 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A302265.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +37*a(n-2) -87*a(n-3) -705*a(n-4) +490*a(n-5) +6647*a(n-6) -2273*a(n-7) -37443*a(n-8) +18499*a(n-9) +137351*a(n-10) -119456*a(n-11) -307421*a(n-12) +497358*a(n-13) +283070*a(n-14) -1382386*a(n-15) +550943*a(n-16) +2688669*a(n-17) -2529947*a(n-18) -3862337*a(n-19) +4815881*a(n-20) +4396960*a(n-21) -5833953*a(n-22) -4259372*a(n-23) +4902946*a(n-24) +3609580*a(n-25) -2867379*a(n-26) -2613565*a(n-27) +1071860*a(n-28) +1546436*a(n-29) -178195*a(n-30) -696136*a(n-31) -34724*a(n-32) +210182*a(n-33) +28519*a(n-34) -40047*a(n-35) -7799*a(n-36) +6305*a(n-37) +1510*a(n-38) -1015*a(n-39) -211*a(n-40) +30*a(n-41) +22*a(n-42) +12*a(n-43) -4*a(n-44) for n>45.

EXAMPLE

Some solutions for n=5:

  0 1 0 1 1     0 1 1 0 1     0 1 0 0 0     0 0 1 0 0

  1 0 1 0 0     0 1 0 0 0     1 0 1 1 1     0 1 1 1 0

  0 0 1 0 1     0 1 1 1 0     1 0 1 0 0     1 1 0 0 0

  0 1 1 0 0     0 0 0 0 0     0 1 0 0 1     0 1 1 1 1

CROSSREFS

Cf. A302265.

Sequence in context: A238651 A291849 A301844 * A302967 A302071 A301822

Adjacent sequences:  A302265 A302266 A302267 * A302269 A302270 A302271

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 04 2018

STATUS

approved

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Last modified November 28 23:48 EST 2021. Contains 349415 sequences. (Running on oeis4.)