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Search: id:A006976
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| A006976 |
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Coefficients of Chebyshev polynomials.
(Formerly M4907)
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+0
3
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| 1, 13, 98, 560, 2688, 11424, 44352, 160512, 549120, 1793792, 5637632, 17145856, 50692096, 146227200, 412778496, 1143078912, 3111714816, 8341487616, 22052208640, 57567870976, 148562247680, 379364311040, 959384125440
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A069039. - Paul Barry (pbarry(AT)wit.ie), Feb 19 2003
If X_1,X_2,...,X_n are 2-blocks of a (2n+1)-set X then, for n>=5, a(n-5) is the number of (n+6)-subsets of X intersecting each X_i, (i=1,2,...,n). - Milan R. Janjic (agnus(AT)blic.net), Nov 18 2007
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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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, 1972 [alternative scanned copy].
Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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G.f.: (1-x)/(1-2x)^7. a(n)=2^n*binomial(n+5, 5)(n+12)/12.
a(n)=2^n(n+1)(n+2)(n+3)(n+4)(n+5)(n+12)/1440.
a(n)=sum{k=0..floor((n+12)/2), C(n+12, 2k)C(k, 6) } - Paul Barry (pbarry(AT)wit.ie), May 15 2003
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CROSSREFS
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a(n)= A039991(n+12, 12).
Partial sums are in A002409.
Sequence in context: A126508 A158795 A075899 this_sequence A034270 A155646 A089936
Adjacent sequences: A006973 A006974 A006975 this_sequence A006977 A006978 A006979
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KEYWORD
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nonn,easy
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 21 2000
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