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A118969
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2*binomial(5*n+1,n)/(4*n+2).
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3
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1, 2, 11, 80, 665, 5980, 56637, 556512, 5620485, 57985070, 608462470, 6474009360, 69682358811, 757366074080, 8300675584120, 91634565938880, 1018002755977245, 11372548404732930, 127677890035721025, 1439777493407492640
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A quadrisection of A118968.
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REFERENCES
| Karol A. Penson and Karol Zyczkowski, Product of Ginibre matrices: Fuss-Catalan and Raney distributions, Phys. Rev E. vol. 83, 061118 (2011), arXiv:1103.3453, 2011.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..100
Karol A. Penson and Karol Zyczkowski, Product of Ginibre matrices : Fuss-Catalan and Raney distribution, arXiv version
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FORMULA
| a(n) is sum of top row terms in M^n, where M is an infinite square production matrix with the tetrahedral series in each column, as follows:
1, 1, 0, 0, 0, 0,...
4, 1, 1, 0, 0, 0,...
10, 10, 4, 1, 0, 0,...
20, 20, 10, 4, 1, 0,...
35, 35, 20, 10, 4, 1,...
... - Gary W. Adamson, Aug 11 2011
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EXAMPLE
| a(3) = 80 = sum of top row terms in M^n, = (35 + 35 + 9 + 1)
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MATHEMATICA
| Table[2*Binomial[5n+1, n]/(4n+2), {n, 0, 20}] (* From Harvey P. Dale, Aug 21 2011 *)
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PROG
| (MAGMA) [2*Binomial(5*n+1, n)/(4*n+2): n in [0..20]]; // Vincenzo Librandi, Aug 12 2011
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CROSSREFS
| Sequence in context: A142722 A099661 A027110 * A181068 A056846 A197718
Adjacent sequences: A118966 A118967 A118968 * A118970 A118971 A118972
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 07 2006
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