Search: id:A069910
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%I A069910
%S A069910 1,0,1,1,2,2,3,3,5,5,7,8,11,12,16,18,23,26,33,37,46,52,63,72,87,98,117,
%T A069910 133,157,178,209,236,276,312,361,408,471,530,609,686,784,881,1004,1126,
%U A069910 1279,1433,1621,1814,2048,2286,2574,2871,3223,3590,4022,4472,5000
%N A069910 Expansion of Product_{i in A069908} 1/(1-x^i).
%C A069910 Arises from an identity of Slater's.
%C A069910 Number of partitions of 2*n into distinct odd parts. - Vladeta Jovovic 
               (vladeta(AT)eunet.rs), May 08 2003
%C A069910 Euler transform of period 16 sequence [0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,
               0,...]. - Michael Somos Apr 11 2004
%D A069910 G. E. Andrews et al., q-Engel series expansions and Slater's identities, 
               Quaestiones Math., 24 (2001), 403-416.
%H A069910 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Jackson-SlaterIdentity.html">Jackson-Slater Identity</a>
%o A069910 (PARI) a(n)=local(X); if(n<0,0,n=2*n; X=x+x*O(x^n); polcoeff(eta(-X)/
               eta(X^2),n)) /* Michael Somos Apr 11 2004 */
%Y A069910 Cf. A069908, A069909, A069911.
%Y A069910 A000700(2n)=a(n).
%Y A069910 Sequence in context: A025147 A032230 A126793 this_sequence A008484 A026797 
               A027189
%Y A069910 Adjacent sequences: A069907 A069908 A069909 this_sequence A069911 A069912 
               A069913
%K A069910 nonn
%O A069910 0,5
%A A069910 N. J. A. Sloane (njas(AT)research.att.com), May 05 2002

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