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Search: id:A053130
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| A053130 |
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Binomial coefficients C(2n-7,8). |
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+0
4
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| 9, 165, 1287, 6435, 24310, 75582, 203490, 490314, 1081575, 2220075, 4292145, 7888725, 13884156, 23535820, 38608020, 61523748, 95548245, 145008513, 215553195, 314457495, 450978066, 636763050, 886322710, 1217566350
(list; graph; listen)
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OFFSET
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8,1
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COMMENT
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a(n)= A053123(n,8), n >= 8; a(n) := 0, n=0..7,(ninth column of shifted Chebyshev's S-triangle, decreasing order)
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings).
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LINKS
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Milan Janjic, Two Enumerative Functions
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n)= binomial(2*n-7, 8) if n >= 8 else 0; G.f.: (9+84*x+126*x^2+36*x^3+x^4)/(1-x)^9.
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CROSSREFS
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Cf. A053123, A053129.
Sequence in context: A041147 A041144 A086759 this_sequence A166180 A004107 A017306
Adjacent sequences: A053127 A053128 A053129 this_sequence A053131 A053132 A053133
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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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