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Search: id:A054334
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| A054334 |
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1/512 of eleventh unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted). |
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+0
5
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| 1, 12, 77, 352, 1287, 4004, 11011, 27456, 63206, 136136, 277134, 537472, 999362, 1790712, 3105322, 5230016, 8580495, 13748020, 21559395, 33153120, 50075025, 74397180, 108864405, 157073280, 223689180, 314707536, 437766252, 602516992
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Partial sums of A054333.
If a 2-set Y and an (n-3)-set Z are disjoint subsets of an n-set X then a(n-11) is the number of 11-subsets of X intersecting both Y and Z. - Milan R. Janjic (agnus(AT)blic.net), Sep 08 2007
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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), p. 795.
Theodore J. Rivlin, Chebyshev polynomials: from approximation theory to algebra and number theory, 2. ed., Wiley, New York, 1990.
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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) = (2*n+10)*binomial(n+9, 9)/10 = ((-1)^n)*A053120(2*n+10, 10)/2^9.
G.f. (1+x)/(1-x)^11.
a(n)=2*C(n+10, 10)-C(n+9, 9). - Paul Barry (pbarry(AT)wit.ie), Mar 04 2003
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CROSSREFS
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Cf. A053120, A054333.
Sequence in context: A009405 A009839 A071767 this_sequence A026964 A026974 A109711
Adjacent sequences: A054331 A054332 A054333 this_sequence A054335 A054336 A054337
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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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