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 A268589 a(n) = (2*C(3p,p) - 9*C(2p,p) + 12) / p^5, where p = prime(n). 5
 12, 2364, 43500, 20791626, 514377588, 373783661124, 9888937247184828, 312285010312512084, 11167980739981519994382, 13185583459205473525798038, 462369843775374621687338484, 588608385261717115044847555476, 28758863221144089886068560242560564, 1508365481231852329668720928730586740868 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 COMMENTS a(n) is integer for all n>=4, see A268512. LINKS R. R. Aidagulov, M. A. Alekseyev. On p-adic approximation of sums of binomial coefficients. Journal of Mathematical Sciences 233:5 (2018), 626-634. doi:10.1007/s10958-018-3948-0 arXiv:1602.02632 PROG (PARI) { A268589(n) = my(p=prime(n)); (12 - 9*binomial(2*p, p) + 2*binomial(3*p, p))/p^5; } CROSSREFS Cf. A268512, A087754, A268590. Sequence in context: A129206 A135398 A203426 * A228289 A306391 A195536 Adjacent sequences:  A268586 A268587 A268588 * A268590 A268591 A268592 KEYWORD nonn AUTHOR Max Alekseyev, Feb 07 2016 STATUS approved

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Last modified January 28 00:32 EST 2020. Contains 331313 sequences. (Running on oeis4.)