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 A122184 Numerator of Sum_{k=0..2n} (-1)^k/C(2n,k)^3. 0
 1, 15, 1705, 47789, 1369377, 213162301, 43005554527, 14505995375, 23869750002797, 2384790127843063, 624724994927411, 24386251366041479501, 2042595777439018142725, 11191251831905709132993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS p^k divides a((p^k+1)/2) for prime p>2 and integer k>0. LINKS Table of n, a(n) for n=0..13. Eric Weisstein's World of Mathematics, Binomial Sums. FORMULA a(n) = Numerator[ Sum[ (-1)^k / Binomial[2n,k]^3, {k,0,2n} ] ]. MATHEMATICA Table[ Numerator[ Sum[ (-1)^k / Binomial[2n, k]^3, {k, 0, 2n} ] ], {n, 0, 25} ] CROSSREFS Cf. A046825 = Numerator of Sum_{k=0..n} 1/C(n, k). Cf. A100516 = Numerator of Sum_{k=0..n} 1/C(n, k)^2. Cf. A100518 = Numerator of Sum_{k=0..n} 1/C(n, k)^3. Cf. A100520 = Numerator of Sum_{k=0..2n} (-1)^k/C(2n, k)^2. Sequence in context: A208860 A195891 A195521 * A069450 A205346 A208868 Adjacent sequences: A122181 A122182 A122183 * A122185 A122186 A122187 KEYWORD frac,nonn AUTHOR Alexander Adamchuk, May 10 2007 STATUS approved

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Last modified October 2 04:44 EDT 2023. Contains 365831 sequences. (Running on oeis4.)