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A049070
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a(n) = (n+1)^2*binomial(2*n+2,n-1)/2.
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0
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0, 2, 27, 224, 1500, 8910, 49049, 256256, 1288872, 6298500, 30093910, 141210432, 652860520, 2981331990, 13472983125, 60343756800, 268187306640, 1183875281820, 5194996380090, 22676052360000, 98513956031400, 426171522716940, 1836562780483002
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 16*x*( 2-7*x +6*x*sqrt(1-4*x) )/ ( (1-4*x)^5/2 * (1+sqrt(1-4*x))^4 ). - R. J. Mathar, Nov 19 2011
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MATHEMATICA
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Table[(n+1)^2 Binomial[2n+2, n-1]/2, {n, 0, 30}] (* Harvey P. Dale, Apr 15 2018 *)
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PROG
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(PARI) a(n) = (n+1)^2*binomial(2*n+2, n-1)/2 \\ Michel Marcus, Jun 08 2013
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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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