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A002423
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Expansion of (1-4*x)^(7/2).
(Formerly M4934 N2114)
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1
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1, -14, 70, -140, 70, 28, 28, 40, 70, 140, 308, 728, 1820, 4760, 12920, 36176, 104006, 305900, 917700, 2801400, 8684340, 27293640, 86843400, 279409200, 908079900, 2978502072, 9851968392, 32839894640
(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(8), 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[(1-4*x)^(7/2), {x, 0, 27}], x] (* Jean-François Alcover Mar 21 2011 *)
Table[(4^(-1+x) Pochhammer[-(7/2), -1+x])/Pochhammer[1, -1+x], {x, 28}] (* From Harvey P. Dale, Jul 13 2011 *)
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CROSSREFS
| Cf. A007054, A004001, A002420, A002421-A002424, A007272.
Sequence in context: A075480 A008354 A051879 * A201106 A034554 A034562
Adjacent sequences: A002420 A002421 A002422 * A002424 A002425 A002426
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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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