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A232034 Number of (n+1)X(4+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero 1
129, 3588, 94102, 2504637, 66684606, 1775039591, 47248648693, 1257683786423, 33477537844376, 891118676917809, 23720158273308295, 631392791058433827, 16806669331442115604, 447366739081219368996, 11908189260423084114109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A232038

LINKS

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

FORMULA

Empirical: a(n) = 32*a(n-1) -138*a(n-2) -165*a(n-3) +563*a(n-4) +2682*a(n-5) +7428*a(n-6) -27648*a(n-7) -100344*a(n-8) +94130*a(n-9) +491247*a(n-10) +558328*a(n-11) -1286279*a(n-12) -6473911*a(n-13) +2965412*a(n-14) +25955669*a(n-15) -9660799*a(n-16) -54343553*a(n-17) +25842884*a(n-18) +64348242*a(n-19) -39312301*a(n-20) -46252895*a(n-21) +31690610*a(n-22) +21351199*a(n-23) -12373011*a(n-24) -4807549*a(n-25) +320723*a(n-26) +265278*a(n-27) +1796613*a(n-28) +752174*a(n-29) -362336*a(n-30) -284497*a(n-31) -234154*a(n-32) +51576*a(n-33) +4242*a(n-34) +33653*a(n-35) -3592*a(n-36) -90*a(n-37) -138*a(n-38) -123*a(n-39) +25*a(n-40) -36*a(n-41) +2*a(n-42) for n>44

EXAMPLE

Some solutions for n=3

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

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

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

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

CROSSREFS

Sequence in context: A305722 A189608 A168067 * A334360 A342897 A239824

Adjacent sequences:  A232031 A232032 A232033 * A232035 A232036 A232037

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified June 26 07:43 EDT 2022. Contains 354877 sequences. (Running on oeis4.)