Search: id:A008484
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%I A008484
%S A008484 1,0,0,0,1,1,1,1,2,2,3,3,5,5,7,8,11,12,16,18,24,27,34,
%T A008484 39,50,57,70,81,100,115,140,161,195,225,269,311,371,427,
%U A008484 505,583,688,791,928,1067,1248,1434,1668,1914,2223,2546
%N A008484 Number of partitions of n into parts >= 4.
%F A008484 G.f.: Product 1/(1-x^m); m=4..inf.
%F A008484 Given by p(n)-p(n-1)-p(n-2)+p(n-4)+p(n-5)-p(n-6) where p(n)=A000041(n). 
               Generally, 1/product(i=K, oo, 1-x^i) is given by p({A}), where {A} 
               is defined over the coefficients of product(i=1, K-1, 1-x^i). In 
               this case K=4, so (1-x)(1-x^2)(1-x^3)=1-x-x^2+x^4+x^5-x^6, defining 
               {A} as above. G.f.: 1 + sum(i=1, oo, x^4i/product(j=1, i, 1-x^j)) 
               - Jon Perry (perry(AT)globalnet.co.uk), Jul 04 2004
%p A008484 series(1/product((1-x^i),i=4..50),x,51);
%p A008484 ZL := [ B,{B=Set(Set(Z, card>=4))}, unlabeled ]: seq(combstruct[count](ZL, 
               size=n), n=0..49); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Mar 13 2007
%Y A008484 Cf. A026797.
%Y A008484 Sequence in context: A032230 A126793 A069910 this_sequence A026797 A027189 
               A140829
%Y A008484 Adjacent sequences: A008481 A008482 A008483 this_sequence A008485 A008486 
               A008487
%K A008484 nonn
%O A008484 0,9
%A A008484 T. Forbes (anthony.d.forbes(AT)googlemail.com)

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