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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. +0
10
1, 3, 13, 79, 641, 6579, 81677, 1187039, 19728193, 368562723, 7639512013, 173893382575, 4310656806977, 115569893763411, 3331588687405133, 102751933334045375, 3375782951798785921, 117693183724386637635 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: log(1+x + 2*x*[Sum_{k>=1} a(n)]) = Sum_{k>=1} a(n)/n*x^n.

EXAMPLE

log(1+x + 2*x*[x + 3*x^2 + 13*x^3 + 79*x^4 + 641*x^5 +...])

= x + 3/2*x^2 + 13/3*x^3 + 79/4*x^4 + 641/5*x^5 +...

PROGRAM

(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))}

CROSSREFS

Cf. A001147, A112934; A112936, A112937, A112938, A112939, A112940, A112941, A112942, A112943.

Sequence in context: A125659 A010844 A090364 this_sequence A074514 A020014 A135921

Adjacent sequences: A112932 A112933 A112934 this_sequence A112936 A112937 A112938

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 09 2005

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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