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A165618
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Binomial(n+8,8)-1
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1
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0, 8, 44, 164, 494, 1286, 3002, 6434, 12869, 24309, 43757, 75581, 125969, 203489, 319769, 490313, 735470, 1081574, 1562274, 2220074, 3108104, 4292144, 5852924, 7888724, 10518299, 13884155, 18156203, 23535819, 30260339, 38608019, 48903491
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Barbarel Tres Mil, Binomial Matrix (I) partitions, Psychedelic Geometry Blogspot, 09/22/09
Index to sequences with linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
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FORMULA
| a(n) = binomial(n+8,8)-1=binomial(n+8,8)-1
a(n) = sum(r=1,r=n, binomial(8,r)*binomial(n,r))
a(n) = n(n+9)(n^6 + 27n^5 + 303n^4 + 1809n^3 + 6168n^2 + 11772n + 12176)/40320
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MATHEMATICA
| Table[ -1 + Binomial[n + 8, 8], {n, 0, 30}]
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PROG
| (PARI) vector(100, n, binomial(n+7, 8)-1) \\ Charles R Greathouse IV, May 27, 2011
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CROSSREFS
| Cf. A000096, A062748, A063258, A062988, A124089, A124090, A035927.
Sequence in context: A100583 A036464 A000938 * A059596 A181358 A005798
Adjacent sequences: A165615 A165616 A165617 * A165619 A165620 A165621
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KEYWORD
| nonn,easy
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AUTHOR
| Barbarel Tres Mil (barbarel3000(AT)yahoo.es), Sep 22 2009
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EXTENSIONS
| Edited by Charles R Greathouse IV, May 27 2011
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