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Search: id:A112939
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| A112939 |
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Logarithmic derivative of A112938 such that a(n)=(1/4)*A112938(n+1) for n>0, where A112938 equals the INVERT transform (with offset) of quadruple factorials A008545. |
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+0
10
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| 1, 7, 73, 1039, 18961, 423703, 11208793, 342414367, 11855713825, 458600785447, 19594307026537, 916242295851055, 46533732766792753, 2550471781317027127, 150035539128333384313, 9428390893356604340287, 630318228814408172573761
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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G.f.: log(1+x + 4*x*[Sum_{k>=1} a(n)]) = Sum_{k>=1} a(n)/n*x^n.
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EXAMPLE
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log(1+x + 4*x*[x + 7*x^2 + 73*x^3 + 1039*x^4 + 18961*x^5 +...])
= x + 7/2*x^2 + 73/3*x^3 + 1039/4*x^4 + 18961/5*x^5 + ...
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PROGRAM
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(PARI) {a(n)=local(F=1+x+x*O(x^n)); for(i=1, n, F=1+x+4*x^2*deriv(F)/F); return(n*polcoeff(log(F), n, x))}
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CROSSREFS
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Cf. A008545, A112938; A112934, A112935, A112936, A112937, A112940, A112941, A112942, A112943.
Sequence in context: A124547 A084363 A050352 this_sequence A048174 A058350 A134281
Adjacent sequences: A112936 A112937 A112938 this_sequence A112940 A112941 A112942
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 09 2005
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