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Search: id:A054333
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| A054333 |
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1/256 of tenth unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted). |
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+0
5
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| 1, 11, 65, 275, 935, 2717, 7007, 16445, 35750, 72930, 140998, 260338, 461890, 791350, 1314610, 2124694, 3350479, 5167525, 7811375, 11593725, 16921905, 24322155, 34467225, 48208875, 66615900, 91018356, 123058716, 164750740
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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If a 2-set Y and an (n-3)-set Z are disjoint subsets of an n-set X then a(n-10) is the number of 10-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.
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.
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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+9)*binomial(n+8, 8)/9 = ((-1)^n)*A053120(2*n+9, 9)/2^8. G.f. (1+x)/(1-x)^10.
a(n)=2*C(n+9, 9)-C(n+8, 8). - Paul Barry (pbarry(AT)wit.ie), Mar 04 2003
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CROSSREFS
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Partial sums of A053347. Cf. A053120, A000581.
Sequence in context: A052051 A120723 A053367 this_sequence A036601 A125321 A054490
Adjacent sequences: A054330 A054331 A054332 this_sequence A054334 A054335 A054336
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KEYWORD
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nonn,easy
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AUTHOR
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Barry E. Williams, Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 15 2000.
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