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A053137
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Binomial coefficients C(2n+8,8).
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4
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1, 45, 495, 3003, 12870, 43758, 125970, 319770, 735471, 1562275, 3108105, 5852925, 10518300, 18156204, 30260340, 48903492, 76904685, 118030185, 177232627, 260932815, 377348994, 536878650, 752538150, 1040465790, 1420494075, 1916797311, 2558620845, 3381098545
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Even indexed members of ninth column of Pascal's triangle A007318.
Number of standard tableaux of shape (2n+1,1^8). - Emeric Deutsch, May 30 2004
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
Milan Janjic, Two Enumerative Functions
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FORMULA
| a(n) = binomial(2*n+8, 8) = A000581(2*n+8).
G.f.: (1+36*x+126*x^2+84*x^3+9*x^4) / (1-x)^9 = (1+3*x) * (3*x^3+27*x^2+33*x+1) / (1-x)^9.
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PROG
| (MAGMA)[Binomial(2*n+8, 8): n in [0..30]]; // Vincenzo Librandi, Oct 07 2011
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CROSSREFS
| Cf. A053136, A000581, A053130.
Sequence in context: A155015 A179795 A036495 * A193434 A086576 A147808
Adjacent sequences: A053134 A053135 A053136 * A053138 A053139 A053140
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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