Search: id:A002597
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%I A002597 M2533 N1000
%S A002597 1,1,3,6,9,15,25,34,51,73,97,132,178,226,294,376,466,582,722,872,1062,
%T A002597 1282,1522,1812,2147,2507,2937,3422,3947,4557,5243,5978,6825,7763,8771,
%U A002597 9912,11172,12516,14028,15680,17444,19404,21540,23808,26316,29028
%N A002597 A generalized partition function.
%D A002597 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002597 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002597 Gupta, Hansraj; A generalization of the partition function. Proc. Nat. 
               Inst. Sci. India 17, (1951). 231-238.
%F A002597 Generating function: 1/((1-x)*(1-x^2)^2*(1-x^3)^3)
%F A002597 Euler transform of [1, 2, 3, 0, 0, 0, 0, 0, ...]. - Thomas Wieder (wieder.thomas(AT)t-online.de), 
               Mar 13 2005
%Y A002597 Cf. A064349.
%Y A002597 Sequence in context: A082004 A112773 A070885 this_sequence A057855 A070120 
               A070126
%Y A002597 Adjacent sequences: A002594 A002595 A002596 this_sequence A002598 A002599 
               A002600
%K A002597 nonn
%O A002597 0,3
%A A002597 N. J. A. Sloane (njas(AT)research.att.com).
%E A002597 More terms and formula from Henry Bottomley (se16(AT)btinternet.com), 
               Sep 17 2001

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