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A164583
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a(n)=4^n*(2n + 1)^2.
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1
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1, 36, 400, 3136, 20736, 123904, 692224, 3686400, 18939904, 94633984, 462422016, 2218786816, 10485760000, 48922361856, 225754218496, 1031865892864, 4677219385344, 21045339750400, 94076963651584, 418089296461824
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OFFSET
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0,2
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COMMENTS
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The aerated signed sequence 0,-1,0,36,0,-400,... with general term -(-4)^((n-1)/2)*n^2*(1-(-1)^n)/2
is the Hankel transform of the aeration 0,1,0,6,0,30,0,140,... of A002457.
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LINKS
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FORMULA
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G.f.: (1+24x+16x^2)/(1-4x)^3.
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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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