Search: id:A112935
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%I A112935
%S A112935 1,3,13,79,641,6579,81677,1187039,19728193,368562723,7639512013,
%T A112935 173893382575,4310656806977,115569893763411,3331588687405133,
%U A112935 102751933334045375,3375782951798785921,117693183724386637635
%N A112935 Logarithmic derivative of A112934 such that a(n)=(1/2)*A112934(n+1) for 
               n>0, where A112934 equals the INVERT transform of double factorials 
               A001147.
%F A112935 G.f.: log(1+x + 2*x*[Sum_{k>=1} a(n)]) = Sum_{k>=1} a(n)/n*x^n.
%e A112935 log(1+x + 2*x*[x + 3*x^2 + 13*x^3 + 79*x^4 + 641*x^5 +...])
%e A112935 = x + 3/2*x^2 + 13/3*x^3 + 79/4*x^4 + 641/5*x^5 +...
%o A112935 (PARI) {a(n)=local(F=1+x+x*O(x^n));for(i=1,n,F=1+x+2*x^2*deriv(F)/F); 
               return(n*polcoeff(log(F),n,x))}
%Y A112935 Cf. A001147, A112934; A112936, A112937, A112938, A112939, A112940, A112941, 
               A112942, A112943.
%Y A112935 Sequence in context: A125659 A010844 A090364 this_sequence A074514 A020014 
               A135921
%Y A112935 Adjacent sequences: A112932 A112933 A112934 this_sequence A112936 A112937 
               A112938
%K A112935 nonn
%O A112935 1,2
%A A112935 Paul D. Hanna (pauldhanna(AT)juno.com), Oct 09 2005

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