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A235183 Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1
4656, 9780, 19952, 45128, 99096, 236376, 545768, 1351904, 3234336, 8236464, 20235512, 52632200, 132063816, 349337952, 892241120, 2393564720, 6209733240, 16862423016, 44373812264, 121811965088, 324794526624, 900449967888 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +41*a(n-2) -177*a(n-3) -709*a(n-4) +3405*a(n-5) +6658*a(n-6) -37423*a(n-7) -35857*a(n-8) +259792*a(n-9) +100713*a(n-10) -1189883*a(n-11) -44519*a(n-12) +3652705*a(n-13) -650588*a(n-14) -7506845*a(n-15) +2237158*a(n-16) +10206566*a(n-17) -3478912*a(n-18) -9024208*a(n-19) +2879248*a(n-20) +5075680*a(n-21) -1279200*a(n-22) -1728912*a(n-23) +283680*a(n-24) +319968*a(n-25) -24192*a(n-26) -24192*a(n-27).
EXAMPLE
Some solutions for n=4:
4 3 4 2 5 2 3 1 3 0 3 2 5 3 5 2 5 1 4 0 4 0 3 0
1 5 1 4 2 4 1 4 1 3 1 5 1 4 1 3 1 2 1 2 1 2 0 2
4 3 4 2 5 2 3 1 3 0 3 2 4 2 4 1 4 0 4 0 4 0 3 0
0 4 0 3 1 3 0 3 0 2 0 4 2 5 2 4 2 3 3 4 3 4 2 4
4 3 4 2 5 2 4 2 4 1 4 3 4 2 4 1 4 0 5 1 5 1 4 1
CROSSREFS
Column 5 of A235186.
Sequence in context: A122713 A235235 A118815 * A069646 A159220 A020422
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 04 2014
STATUS
approved

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Last modified May 28 16:48 EDT 2024. Contains 372916 sequences. (Running on oeis4.)