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A234653 Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). 1
3264, 9616, 28496, 94432, 315024, 1148176, 4196144, 16491760, 64635984, 269420656, 1113440816, 4854540592, 20870725584, 94119170416, 416524927664, 1926045742000, 8704759565904, 41004476986096, 188158197010736 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) +83*a(n-2) -804*a(n-3) -2479*a(n-4) +34112*a(n-5) +22457*a(n-6) -798036*a(n-7) +453896*a(n-8) +11262032*a(n-9) -15161188*a(n-10) -98135856*a(n-11) +191644944*a(n-12) +513355968*a(n-13) -1327868352*a(n-14) -1430555904*a(n-15) +5245827840*a(n-16) +1148359680*a(n-17) -11006668800*a(n-18) +3284582400*a(n-19) +9455616000*a(n-20) -5971968000*a(n-21).

EXAMPLE

Some solutions for n=4:

  5 2 3 2     4 4 4 4     2 5 0 5     1 3 0 4     0 4 4 4

  3 4 1 4     0 4 0 4     4 3 2 3     3 1 2 2     4 4 0 4

  3 0 1 0     1 1 1 1     2 5 0 5     2 4 1 5     5 1 1 1

  2 3 0 3     0 4 0 4     2 1 0 1     4 2 3 3     4 4 0 4

  3 0 1 0     4 4 4 4     5 0 3 0     1 3 0 4     0 4 4 4

CROSSREFS

Column 3 of A234658.

Sequence in context: A137836 A251919 A338071 * A254492 A254485 A253857

Adjacent sequences:  A234650 A234651 A234652 * A234654 A234655 A234656

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

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Last modified November 26 04:03 EST 2022. Contains 358353 sequences. (Running on oeis4.)