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Search: id:A112941
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| A112941 |
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Logarithmic derivative of A112940 such that a(n)=(1/5)*A112940(n+1) for n>0, where A112940 equals the INVERT transform (with offset) of quintuple factorials A008546. |
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+0
10
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| 1, 9, 121, 2209, 51401, 1457649, 48774041, 1880312129, 82028211241, 3993290362449, 214543742998201, 12606663551853409, 804145149477634121, 55332318403485181809, 4084986234723143402201, 322064057582671115832449
(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 + 5*x*[Sum_{n>=1} a(n)]) = Sum_{n>=1} a(n)/n*x^n.
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EXAMPLE
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log(1+x + 5*x*[x + 9*x^2 + 121*x^3 + 2209*x^4 + 51401*x^5 +...])
= x + 9/2*x^2 + 121/3*x^3 + 2209/4*x^4 + 51401/5*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+5*x^2*deriv(F)/F); return(n*polcoeff(log(F), n, x))}
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CROSSREFS
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Cf. A008546, A112940; A112934, A112935, A112936, A112937, A112938, A112939, A112942, A112943.
Sequence in context: A046184 A084769 A050353 this_sequence A045976 A053889 A087584
Adjacent sequences: A112938 A112939 A112940 this_sequence A112942 A112943 A112944
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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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