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A112941 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. 9

%I

%S 1,9,121,2209,51401,1457649,48774041,1880312129,82028211241,

%T 3993290362449,214543742998201,12606663551853409,804145149477634121,

%U 55332318403485181809,4084986234723143402201,322064057582671115832449

%N 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.

%F G.f.: log(1+x + 5*x*[Sum_{n>=1} a(n)]) = Sum_{n>=1} a(n)/n*x^n.

%e log(1+x + 5*x*[x + 9*x^2 + 121*x^3 + 2209*x^4 + 51401*x^5 +...])

%e = x + 9/2*x^2 + 121/3*x^3 + 2209/4*x^4 + 51401/5*x^5 + ...

%o (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))}

%Y Cf. A008546, A112940; A112934, A112935, A112936, A112937, A112938, A112939, A112942, A112943.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Oct 09 2005

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Last modified April 19 15:45 EDT 2021. Contains 343116 sequences. (Running on oeis4.)