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Search: id:A053135
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| A053135 |
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Binomial coefficients C(2n+6,6). |
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+0
3
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| 1, 28, 210, 924, 3003, 8008, 18564, 38760, 74613, 134596, 230230, 376740, 593775, 906192, 1344904, 1947792, 2760681, 3838380, 5245786, 7059052, 9366819, 12271512, 15890700, 20358520, 25827165, 32468436, 40475358, 50063860
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OFFSET
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0,2
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COMMENT
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Even indexed members of seventh column of Pascal's triangle A007318.
Number of standard tableaux of shape (2n+1,1^6). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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LINKS
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Milan Janjic, Two Enumerative Functions
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FORMULA
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a(n)= binomial(2*n+6, 6)= A000579(2*n+6). G.f.(1+21*x+35*x^2+7*x^3)/(1-x)^7.
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CROSSREFS
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Cf. A002299, A053134, A000579, A053128.
Sequence in context: A042526 A159542 A155466 this_sequence A133071 A135180 A042524
Adjacent sequences: A053132 A053133 A053134 this_sequence A053136 A053137 A053138
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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