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A151989
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a(n) = A001512(n)/24 = (5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24.
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8
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1, 126, 1001, 3876, 10626, 23751, 46376, 82251, 135751, 211876, 316251, 455126, 635376, 864501, 1150626, 1502501, 1929501, 2441626, 3049501, 3764376, 4598126, 5563251, 6672876, 7940751, 9381251, 11009376, 12840751, 14891626, 17178876, 19720001, 22533126
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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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G.f.: (1 + 121*x + 381*x^2 + 121*x^3 + x^4)/(1-x)^5. - Colin Barker, Aug 17 2012
Sum_{n>=0} (-1)^n/a(n) = 32*log(2)/5 - 8*arccoth(3/sqrt(5))/sqrt(5). - Amiram Eldar, Sep 20 2022
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MATHEMATICA
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(Times@@#)/24&/@Table[5n+i, {n, 0, 35}, {i, 4}] (* Harvey P. Dale, Aug 16 2011 *)
Table[Binomial[5*n+4, 4], {n, 0, 30}] (* G. C. Greubel, Nov 08 2018 *)
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PROG
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(Magma) [(5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24: n in [0..30]]; // Vincenzo Librandi, Aug 17 2011
(PARI) vector(30, n, n--; binomial(5*n+4, 4)) \\ G. C. Greubel, Nov 08 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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