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A112935
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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.
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9
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1, 3, 13, 79, 641, 6579, 81677, 1187039, 19728193, 368562723, 7639512013, 173893382575, 4310656806977, 115569893763411, 3331588687405133, 102751933334045375, 3375782951798785921, 117693183724386637635
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| G.f.: log(1+x + 2*x*[Sum_{k>=1} a(n)]) = Sum_{k>=1} a(n)/n*x^n.
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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 +...
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PROG
| (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))}
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CROSSREFS
| Cf. A001147, A112934; A112936, A112937, A112938, A112939, A112940, A112941, A112942, A112943.
Sequence in context: A125659 A010844 A090364 * A201795 A183278 A074514
Adjacent sequences: A112932 A112933 A112934 * A112936 A112937 A112938
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 09 2005
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