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Search: id:A002424
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| A002424 |
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Expansion of (1-4*x)^(9/2).
(Formerly M5058 N2188)
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+0
4
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| 1, -18, 126, -420, 630, -252, -84, -72, -90, -140, -252, -504, -1092, -2520, -6120, -15504, -40698, -110124, -305900, -869400, -2521260, -7443720, -22331160, -67964400, -209556900, -653817528, -2062039896, -6567978928, -21111360840
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
T. N. Thiele, Interpolationsrechnung. Teubner, Leipzig, 1909, p. 164.
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FORMULA
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a(n) = sum[ m=0..n ] binomial(n, m) K_m(10), where K_m(x)=K_m(n, 2, x) is a Krawtchouk polynomial - abarg(AT)research.bell-labs.com (Alexander Barg).
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CROSSREFS
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Cf. A007054, A004001, A002420, A002421-A002423, A007272.
Sequence in context: A037064 A077960 A107971 this_sequence A101378 A107417 A056125
Adjacent sequences: A002421 A002422 A002423 this_sequence A002425 A002426 A002427
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KEYWORD
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sign,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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