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A249332
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a(n) = Sum_{k=0..2*n} binomial(2*n, k)^4.
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2
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1, 18, 1810, 263844, 44916498, 8345319268, 1640651321764, 335556407724360, 70666388112940818, 15220552520052960516, 3337324864503769353060, 742446552655157791828680, 167167472732516775004539300, 38021985442071415426063237704, 8723111727436784830252513497928
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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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MATHEMATICA
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Table[Sum[Binomial[2*n, k]^4, {k, 0, 2*n}], {n, 0, 30}] (* G. C. Greubel, Aug 04 2018 *)
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PROG
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(PARI) {a(n) = sum(k=0, 2*n, binomial( 2*n, k)^4)};
(Magma) [(&+[Binomial(2*n, k)^4: k in [0..2*n]]): n in [0..30]]; // G. C. Greubel, Aug 04 2018
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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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