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Search: id:A002695
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| A002695 |
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P_n'(3), where P_n is n-th Legendre polynomial.
(Formerly M4642 N1985)
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+0
2
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| 1, 9, 66, 450, 2955, 18963, 119812, 748548, 4637205, 28537245, 174683718, 1064611782, 6464582943, 39132819495, 236256182280, 1423046656008, 8554078990377, 51327262010673, 307488810131530, 1839455028693450
(list; graph; listen)
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OFFSET
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1,2
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. Bateman, Some problems in potential theory, Messenger Math., 52 (1922), 71-78.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
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FORMULA
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G.f.: (1 - 6x + x^2)^(-3/2).
a(n)=Gegenbauer_C(n,3/2,3). [From Paul Barry (pbarry(AT)wit.ie), Apr 20 2009]
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CROSSREFS
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Cf. A001850.
Sequence in context: A118465 A051375 A081902 this_sequence A003408 A037698 A037607
Adjacent sequences: A002692 A002693 A002694 this_sequence A002696 A002697 A002698
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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Reference corrected by T. D. Noe, Aug 03 2007
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