Search: id:A004101
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%I A004101 M0753
%S A004101 1,1,2,3,6,8,13,18,29,40,58,79,115,154,213,284,391,514,690,900,1197,
%T A004101 1549,2025,2600,3377,4306,5523,7000,8922,11235,14196,17777,22336,
%U A004101 27825,34720,43037,53446,65942,81423,100033,122991,150481,184149
%N A004101 Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...
%D A004101 J. Knopfmacher, Abstract Analytic Number Theory. North-Holland, Amsterdam, 
               1975, p. 293.
%D A004101 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A004101 N. J. A. Sloane, <a href="transforms.txt">Transforms</a>
%F A004101 EULER transform of A046951.
%e A004101 4 = 4*1^2 = 1*2^2 = 3*1^2 + 1*1^2 = 2*1^2 + 2*1^2 = 2*1^2 + 1*1^2 + 1*1^2 
               = 1*1^2 + 1*1^2 + 1*1^2 + 1*1^2.
%o A004101 (PARI) 1/prod(j=1,N, eta(x^(j^2))); Vec(%) - Joerg Arndt (arndt(AT)jjj.de), 
               May 03 2008
%Y A004101 Cf. A038538.
%Y A004101 Sequence in context: A022943 A068491 A024788 this_sequence A003405 A153918 
               A114319
%Y A004101 Adjacent sequences: A004098 A004099 A004100 this_sequence A004102 A004103 
               A004104
%K A004101 nonn,nice,easy
%O A004101 0,3
%A A004101 N. J. A. Sloane (njas(AT)research.att.com).
%E A004101 More terms, formula and better description from Christian G. Bower (bowerc(AT)usa.net), 
               Nov 15 1999.

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