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Search: id:A053126
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| A053126 |
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Binomial coefficients binomial(2n-3,4). |
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+0
5
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| 5, 35, 126, 330, 715, 1365, 2380, 3876, 5985, 8855, 12650, 17550, 23751, 31465, 40920, 52360, 66045, 82251, 101270, 123410, 148995, 178365, 211876, 249900, 292825, 341055, 395010, 455126, 521855, 595665, 677040, 766480
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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a(n)= A053123(n,4), n >= 4; a(n) := 0, n=0..3. (fifth 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-3, 4) if n >= 4 else 0; G.f.: (5+10*x+x^2)/(1-x)^5.
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CROSSREFS
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Cf. A053123, A002492.
Sequence in context: A117793 A090294 A111877 this_sequence A096743 A026697 A120668
Adjacent sequences: A053123 A053124 A053125 this_sequence A053127 A053128 A053129
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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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