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A008502
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8-dimensional centered tetrahedral numbers.
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1
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1, 10, 55, 220, 715, 2002, 5005, 11440, 24310, 48619, 92368, 167905, 293710, 496705, 815188, 1302499, 2031535, 3100240, 4638205, 6814522, 9847045, 14013220, 19662655, 27231610, 37259596
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OFFSET
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0,2
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LINKS
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Bruno Berselli, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1)
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FORMULA
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G.f.: (1-x^9 )/(1-x)^10 = (1+x+x^2)*(x^6+x^3+1) / (1-x)^9.
a(n) = 1+n*(n+1)*(3*n^6+9*n^5+509*n^4+1003*n^3+11464*n^2+10964*n+36528)/13440. - R. J. Mathar, Nov 02 2011
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MATHEMATICA
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Table[Binomial[n + 9, 9] - Binomial[n, 9], {n, 0, 24}] (* Bruno Berselli, Mar 22 2012 *)
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CROSSREFS
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Sequence in context: A127761 A162617 A070212 * A008492 A023035 A128936
Adjacent sequences: A008499 A008500 A008501 * A008503 A008504 A008505
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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