A295036 - OEIS

A295036

Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 2 1s.

7, 87, 741, 6686, 59126, 528282, 4738235, 42321441, 378112132, 3379951089, 30211913537, 270034246073, 2413553512560, 21572510872955, 192816992434886, 1723410496604699, 15403947766639408, 137681484497162534

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OFFSET

1,1

COMMENTS

Column 4 of A295040.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +11*a(n-2) +110*a(n-3) +218*a(n-4) +381*a(n-5) -1782*a(n-6) -2295*a(n-7) +4944*a(n-8) +5724*a(n-9) -6097*a(n-10) -7938*a(n-11) -1252*a(n-12) +14108*a(n-13) +11254*a(n-14) -22229*a(n-15) -16840*a(n-16) +27235*a(n-17) -25020*a(n-18) +11308*a(n-19) +6762*a(n-20) -1639*a(n-21) +2585*a(n-22) +642*a(n-23) -2303*a(n-24) -429*a(n-25) +661*a(n-26) -215*a(n-27) +117*a(n-28) -14*a(n-29) -36*a(n-30) +7*a(n-31) +4*a(n-32) +2*a(n-33) -a(n-34)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A295040.

Sequence in context: A048363 A254473 A183613 * A295527 A173812 A199027

Adjacent sequences: A295033 A295034 A295035 * A295037 A295038 A295039

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 12 2017

STATUS

approved