A196919 - OEIS

A196919

Number of n X 5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,2,4,0 for x=0,1,2,3,4.

1, 6, 27, 114, 602, 2659, 11843, 54151, 248884, 1149368, 5314692, 24582826, 113768977, 526745513, 2439519188, 11300197751, 52349414827, 242529162603, 1123654672681, 5206100676576, 24121216202540, 111760982035902

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OFFSET

1,2

COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 0's.

Column 5 of A196922.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -5*a(n-2) -3*a(n-3) -14*a(n-4) +21*a(n-5) -55*a(n-6) -220*a(n-7) -191*a(n-8) -132*a(n-9) +188*a(n-10) +12*a(n-11) +165*a(n-12) +510*a(n-13) +814*a(n-14) +641*a(n-15) +80*a(n-16) -21*a(n-17) -118*a(n-18) +47*a(n-19) -4*a(n-20) +15*a(n-21) -7*a(n-22) for n>23.

EXAMPLE

Some solutions for n=4

..0..0..0..0..0....0..2..2..2..2....0..0..0..2..2....0..0..0..0..0

..0..4..0..2..2....0..2..0..0..2....0..0..0..2..2....0..4..0..4..0

..0..0..0..2..2....0..2..0..2..2....0..2..2..0..0....0..0..0..0..0

..0..0..0..0..0....0..2..2..2..0....0..2..2..0..0....0..0..0..0..0

CROSSREFS

Cf. A196922.

Sequence in context: A291232 A171475 A130019 * A049651 A109114 A373302

Adjacent sequences: A196916 A196917 A196918 * A196920 A196921 A196922

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 07 2011

STATUS

approved