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Search: id:A053128
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| A053128 |
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Binomial coefficients C(2n-5,6). |
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+0
4
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| 7, 84, 462, 1716, 5005, 12376, 27132, 54264, 100947, 177100, 296010, 475020, 736281, 1107568, 1623160, 2324784, 3262623, 4496388, 6096454, 8145060, 10737573, 13983816, 18009460, 22957480, 28989675, 36288252, 45057474
(list; graph; listen)
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OFFSET
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6,1
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COMMENT
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a(n)= A053123(n,6), n >= 6; a(n) := 0, n=0..5,(seventh 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-5, 6) if n >= 6 else 0; G.f.: (7+35*x+21*x^2+x^3)/(1-x)^7.
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CROSSREFS
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Cf. A053123, A053127.
Sequence in context: A089342 A075137 A099668 this_sequence A027819 A099674 A067413
Adjacent sequences: A053125 A053126 A053127 this_sequence A053129 A053130 A053131
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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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