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A002424
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Expansion of (1-4*x)^(9/2).
(Formerly M5058 N2188)
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3
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| 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
| 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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MATHEMATICA
| CoefficientList[Series[(1-4x)^(9/2), {x, 0, 30}], x] (* From Harvey P. Dale, Dec 27 2011 *)
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CROSSREFS
| Cf. A007054, A004001, A002420, A002421-A002423, A007272.
Sequence in context: A037064 A077960 A107971 * A101378 A107417 A056125
Adjacent sequences: A002421 A002422 A002423 * A002425 A002426 A002427
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KEYWORD
| sign,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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