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A053128
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Binomial coefficients C(2*n-5,6).
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5
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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, 55525372, 67945521, 82598880, 99795696
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,1
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COMMENTS
| 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
| 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
| Vincenzo Librandi, Table of n, a(n) for n = 6..200
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
| 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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PROG
| (MAGMA)[Binomial(2*n-5, 6): n in [6..40]]; // Vincenzo Librandi, Oct 07 2011
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CROSSREFS
| Cf. A053123, A053127.
Sequence in context: A075137 A099668 A187649 * A027819 A177009 A099674
Adjacent sequences: A053125 A053126 A053127 * A053129 A053130 A053131
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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