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A268589
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a(n) = (2*C(3p,p) - 9*C(2p,p) + 12) / p^5, where p = prime(n).
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6
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12, 2364, 43500, 20791626, 514377588, 373783661124, 9888937247184828, 312285010312512084, 11167980739981519994382, 13185583459205473525798038, 462369843775374621687338484, 588608385261717115044847555476, 28758863221144089886068560242560564, 1508365481231852329668720928730586740868
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OFFSET
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4,1
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COMMENTS
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a(n) is integer for all n>=4, see A268512.
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LINKS
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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
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PROG
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(PARI) { A268589(n) = my(p=prime(n)); (12 - 9*binomial(2*p, p) + 2*binomial(3*p, p))/p^5; }
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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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