Search: id:A002422
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%I A002422 M4692 N2003
%S A002422 1,10,30,20,10,12,20,40,90,220,572,1560,4420,12920,38760,
%T A002422 118864,371450,1179900,3801900,12406200,40940460,136468200,
%U A002422 459029400,1556708400,5318753700,18296512728,63334082520
%V A002422 1,-10,30,-20,-10,-12,-20,-40,-90,-220,-572,-1560,-4420,-12920,-38760,
%W A002422 -118864,-371450,-1179900,-3801900,-12406200,-40940460,-136468200,
%X A002422 -459029400,-1556708400,-5318753700,-18296512728,-63334082520
%N A002422 Expansion of (1-4x)^{5/2}.
%D A002422 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002422 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002422 T. N. Thiele, Interpolationsrechnung. Teubner, Leipzig, 1909, p. 164.
%D A002422 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.
%F A002422 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).
%F A002422 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
%Y A002422 Cf. A007054, A004001, A002420, A002421-A002424, A007272.
%Y A002422 a(n+3) = -2 * A007272(n).
%Y A002422 Sequence in context: A055850 A027979 A057456 this_sequence A031195 A034117 
               A104863
%Y A002422 Adjacent sequences: A002419 A002420 A002421 this_sequence A002423 A002424 
               A002425
%K A002422 sign
%O A002422 0,2
%A A002422 N. J. A. Sloane (njas(AT)research.att.com).

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