Search: id:A005895
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%I A005895 M1337
%S A005895 1,2,5,7,12,18,26,35,50,67,88,116,149,191,245,306,381,477,585,718,880,
%T A005895 1067,1288,1555,1863,2226,2656,3151,3726,4406,5180,6077,7124,8316,9691,
%U A005895 11278,13080,15146,17517,20204,23264,26759,30705,35182,40274,46000
%N A005895 Weighted count of partitions with distinct parts.
%C A005895 Also sum of largest parts of all partitions of n into distinct parts. 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 15 2004
%D A005895 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005895 Andrews, George E.; Ramanujan's "lost" notebook. V. Euler's partition 
               identity. Adv. in Math. 61 (1986), no. 2, 156-164.
%D A005895 S.-Y. Kang, Generalizations of Ramanujan's reciprocity theorem..., J. 
               London Math. Soc., 75 (2007), 18-34. See Eq. (1.5) but beware errors.
%F A005895 G.f.: Sum_{n=0..inf} {S(q)-(1+q)(1+q^2)...(1+q^n)}, where S(q) = g.f. 
               for A000009.
%p A005895 M:=201; add( mul( (1+q^j),j=1..M) - mul( (1+q^j),j=1..n), n=0..M);
%Y A005895 Cf. A005896, A003406.
%Y A005895 Sequence in context: A024924 A023668 A023564 this_sequence A135525 A117538 
               A001060
%Y A005895 Adjacent sequences: A005892 A005893 A005894 this_sequence A005896 A005897 
               A005898
%K A005895 nonn,easy,nice
%O A005895 1,2
%A A005895 N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A005895 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 24 1999

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