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Search: id:A053127
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| A053127 |
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Binomial coefficients C(2n-4,5). |
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+0
5
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| 6, 56, 252, 792, 2002, 4368, 8568, 15504, 26334, 42504, 65780, 98280, 142506, 201376, 278256, 376992, 501942, 658008, 850668, 1086008, 1370754, 1712304, 2118760, 2598960, 3162510, 3819816, 4582116, 5461512, 6471002, 7624512
(list; graph; listen)
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OFFSET
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5,1
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COMMENT
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a(n)=-A053123(n,5), n >= 5; a(n) := 0, n=0..4 (sixth 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, December 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-4, 5) if n >= 5 else 0; G.f.: (6+20*x+6*x^2)/(1-x)^6.
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CROSSREFS
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Cf. A053123, A053132, A053126.
Sequence in context: A137033 A045526 A137034 this_sequence A068495 A097126 A074019
Adjacent sequences: A053124 A053125 A053126 this_sequence A053128 A053129 A053130
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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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