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Search: id:A112937
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| A112937 |
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Logarithmic derivative of A112936 such that a(n)=(1/3)*A112936(n+1) for n>0, where A112936 equals the INVERT transform (with offset) of triple factorials A008544. |
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10
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| 1, 5, 37, 377, 4981, 81305, 1580797, 35637377, 913115701, 26189790425, 830916198157, 28883617580177, 1091455878504421, 44541746007215945, 1952125704702209917, 91440056107001450177, 4558596081095404198741
(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 + 3*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 + 3*x*[x + 5*x^2 + 37*x^3 + 377*x^4 + 4981*x^5 +...])
= x + 5/2*x^2 + 37/3*x^3 + 377/4*x^4 + 4981/5*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+3*x^2*deriv(F)/F); return(n*polcoeff(log(F), n, x))}
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CROSSREFS
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Cf. A008544, A112936; A112934, A112935, A112938, A112939, A112940, A112941, A112942, A112943.
Sequence in context: A050351 A129137 A055869 this_sequence A092649 A161565 A003709
Adjacent sequences: A112934 A112935 A112936 this_sequence A112938 A112939 A112940
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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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