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Search: id:A053131
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| A053131 |
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Binomial coefficients C(2n-8,9). |
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+0
5
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| 10, 220, 2002, 11440, 48620, 167960, 497420, 1307504, 3124550, 6906900, 14307150, 28048800, 52451256, 94143280, 163011640, 273438880, 445891810, 708930508, 1101716330, 1677106640, 2505433700, 3679075400, 5317936260
(list; graph; listen)
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OFFSET
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9,1
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COMMENT
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a(n)=-A053123(n,9), n >= 9; a(n) := 0, n=0..8 (tenth column of shifted Chebyshev's S-triangle, decreasing order)
a(n)=2*A053133(n).
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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-8, 9) if n >= 9 else 0; G.f. (10+120*x+252*x^2+120*x^3+10*x^4)/(1-x)^10.
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CROSSREFS
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Cf. A053123, A053130.
Sequence in context: A024291 A024292 A094420 this_sequence A166181 A064333 A052789
Adjacent sequences: A053128 A053129 A053130 this_sequence A053132 A053133 A053134
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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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