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 A207321 Partial sums of A002893. 0
 0, 3, 18, 111, 750, 5403, 40572, 313407, 2471166, 19791003, 160459068, 1313922063, 10847561088, 90174127683, 754009158018, 6336733626111, 53489159252670, 453258909448635, 3854034482891724, 32871004555812111, 281127047928811200, 2410285909684370787, 20711470169495359602, 178337708176330555839 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Z.-W. Sun, Congruences for Franel numbers, arXiv preprint arXiv:1112.1034, 2011. FORMULA n^2*a(n) +(-11*n^2+10*n-3)*a(n-1) +(19*n^2-28*n+12)*a(n-2) -9*(n-1)^2*a(n-3)=0. - R. J. Mathar, Aug 25 2013 a(n) ~ 3^(2*n + 7/2) / (32*Pi*n). - Vaclav Kotesovec, Mar 30 2018 MATHEMATICA Table[Sum[HypergeometricPFQ[{1/2, -k, -k}, {1, 1}, 4], {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Mar 30 2018 *) CROSSREFS Sequence in context: A114311 A134092 A000274 * A193236 A215047 A213099 Adjacent sequences:  A207318 A207319 A207320 * A207322 A207323 A207324 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 16 2012 STATUS approved

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Last modified December 8 14:38 EST 2019. Contains 329865 sequences. (Running on oeis4.)