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A115205
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a(n) = binomial(n, 9) + 1.
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1
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1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 56, 221, 716, 2003, 5006, 11441, 24311, 48621, 92379, 167961, 293931, 497421, 817191, 1307505, 2042976, 3124551, 4686826, 6906901, 10015006, 14307151, 20160076, 28048801, 38567101, 52451257, 70607461, 94143281, 124403621
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OFFSET
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0,10
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LINKS
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FORMULA
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G.f.: ((3*x^2-3*x+1)*(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1))/(x-1)^10. [Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
a(n) = (1/9!)*(n+1)*(n^8 - 37*n^7 + 583*n^6 - 5119*n^5 + 27568*n^4 - 94852*n^3 + 212976*n^2 - 322560*n + 9!) = binomial(n,9)+1. - G. C. Greubel, Feb 05 2016
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MAPLE
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MATHEMATICA
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Table[1 + Binomial[n, 9], {n, 0, 20}] (* G. C. Greubel, Feb 05 2016 *)
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PROG
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(PARI) a(n) = binomial(n, 9) + 1; \\ Altug Alkan, Feb 05 2016
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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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