Search: id:A000115
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%I A000115 M0279 N0098
%S A000115 1,1,2,2,3,4,5,6,7,8,10,11,13,14,16,18,20,22,24,26,29,31,34,36,39,42,45,
%T A000115 48,51,54,58,61,65,68,72,76,80,84,88,92,97,101,106,110,115,120,125,130,
%U A000115 135,140,146,151,157,162,168,174,180,186,192,198,205,211,218,224,231,238
%N A000115 Denumerants: expansion of 1 /((1 - x)(1 - x^2)(1 - x^5)).
%D A000115 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 120, D(n;1,2,5).
%D A000115 M. Jeger, Ein partitions problem ..., Elemente de Math., 13 (1958), 97-120.
%D A000115 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               152.
%D A000115 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000115 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A000115 round((n+4)^2/20).
%p A000115 1/((1-x)*(1-x^2)*(1-x^5));
%p A000115 (From Jeger's paper:) s:=proc(n) if n mod 5 = 0 then RETURN(1); fi; if 
               n mod 5 = 1 then RETURN(0); fi; if n mod 5 = 2 then RETURN(1); fi; 
               if n mod 5 = 3 then RETURN(-1); fi; if n mod 5 = 4 then RETURN(-1); 
               fi; end; f:=n->(2*n^2+16*n+27+5*(-1)^n+8*s(n))/40;
%Y A000115 First differences are in A008616. First differences of A001304. Pairwise 
               sums of A008720.
%Y A000115 Sequence in context: A118868 A017885 A011874 this_sequence A033552 A062420 
               A089197
%Y A000115 Adjacent sequences: A000112 A000113 A000114 this_sequence A000116 A000117 
               A000118
%K A000115 nonn
%O A000115 0,3
%A A000115 N. J. A. Sloane (njas(AT)research.att.com).

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