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Search: id:A002422
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| A002422 |
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Expansion of (1-4x)^{5/2}.
(Formerly M4692 N2003)
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+0
3
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| 1, -10, 30, -20, -10, -12, -20, -40, -90, -220, -572, -1560, -4420, -12920, -38760, -118864, -371450, -1179900, -3801900, -12406200, -40940460, -136468200, -459029400, -1556708400, -5318753700, -18296512728, -63334082520
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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T. N. Thiele, Interpolationsrechnung. Teubner, Leipzig, 1909, p. 164.
A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 55.
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FORMULA
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a(n) = sum[ m=0..n ] binomial(n, m) K_m(6), where K_m(x)=K_m(n, 2, x) is a Krawtchouk polynomial - abarg(AT)research.bell-labs.com (Alexander Barg).
a(n) ~ -15/8*pi^(-1/2)*n^(-7/2)*2^(2*n)*{1 + 35/8*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 22 2001
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CROSSREFS
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Cf. A007054, A004001, A002420, A002421-A002424, A007272.
a(n+3) = -2 * A007272(n).
Sequence in context: A055850 A027979 A057456 this_sequence A031195 A034117 A104863
Adjacent sequences: A002419 A002420 A002421 this_sequence A002423 A002424 A002425
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KEYWORD
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sign
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AUTHOR
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njas
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