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A081912
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a(n) = 6^n*(n^2 - n + 72)/72.
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3
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1, 6, 37, 234, 1512, 9936, 66096, 443232, 2985984, 20155392, 136048896, 917070336, 6167549952, 41358864384, 276451356672, 1841557856256, 12224809598976, 80871817347072, 533189772509184, 3503818505060352, 22952550207062016
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OFFSET
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0,2
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COMMENTS
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Binomial transform of A081911 6th binomial transform of (1,0,1,0,0,0,...). Case k=6 where a(n,k) = k^n*(n^2 - n + 2k^2)/(2k^2) with g.f. (1 - 2kx + (k^2+1)x^2)/(1-kx)^3.
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LINKS
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FORMULA
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a(n) = 6^n*(n^2 - n + 72)/72.
G.f.: (1 - 12x + 37x^2)/(1-6x)^3.
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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