Search: id:A105614
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%I A105614
%S A105614 1,2,3,6,11,12,24,48,71,78,155,272,420,652,903,1364,2144,3436,5955,9668,
%T A105614 10838,16408,27948,45920,66817,109296,152786,197542,327755,531440,
%U A105614 735565,1083128,1727206,2521374,3938246,5248706,8452114,12093692
%N A105614 Self-convolution of A105613.
%e A105614 Given sequence A105613:
%e A105614 [1, 1, 1, 2,3, 1, 6,11,12, 1, 24,48,71,78, ...],
%e A105614 the self-convolution yields this sequence:
%e A105614 [1, 2,3, 6,11,12, 24,48,71,78, ...],
%e A105614 which is A105613 with 1's omitted at positions {0,2,5,9,14,...}.
%o A105614 (PARI) {a(n)=local(V,t);if(n==0,1,V=vector(n+1,k, t=ceil((sqrt(8*k+1)-1)/
               2);if(ceil((sqrt(8*k+9)-1)/2)-t==1,1,a(k-t))); polcoeff(Ser(V)^2+x*O(x^n),
               n))}
%Y A105614 Cf. A105613.
%Y A105614 Sequence in context: A125714 A004038 A152038 this_sequence A116441 A116051 
               A124593
%Y A105614 Adjacent sequences: A105611 A105612 A105613 this_sequence A105615 A105616 
               A105617
%K A105614 nonn
%O A105614 0,2
%A A105614 Paul D. Hanna (pauldhanna(AT)juno.com), Apr 16 2005

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