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A234668
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Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).
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1
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3816, 28860, 217968, 1648188, 12470688, 94430072, 715532392, 5425977036, 41174389648, 312684001244, 2376211767256, 18071478927288, 137531947836880, 1047471793293388, 7983305435427952, 60890806801849980, 464753484540401824
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 35*a(n-1) -234*a(n-2) -5393*a(n-3) +83088*a(n-4) +72599*a(n-5) -7727281*a(n-6) +30601466*a(n-7) +288437560*a(n-8) -2223662740*a(n-9) -2827663592*a(n-10) +61030210280*a(n-11) -68134000167*a(n-12) -723492961431*a(n-13) +1379135043174*a(n-14) +4956504550981*a(n-15) -10336340466744*a(n-16) -22249573436775*a(n-17) +42072453243081*a(n-18) +68185197096618*a(n-19) -103181037099516*a(n-20) -142550751258288*a(n-21) +157651414286112*a(n-22) +199205608411008*a(n-23) -149554834911360*a(n-24) -179827747799040*a(n-25) +84774205497600*a(n-26) +99173800742400*a(n-27) -26026116480000*a(n-28) -29990476800000*a(n-29) +3292047360000*a(n-30) +3762339840000*a(n-31).
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EXAMPLE
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Some solutions for n=2:
5 2 4 2 1 0 6 5 1 4 2 1 5 1 2 4 0 7 6 3 4
7 0 6 0 3 6 7 2 2 0 2 5 5 5 2 4 4 7 1 2 7
3 0 2 0 7 6 2 1 5 1 7 6 6 2 3 3 7 6 6 3 4
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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