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%I A262003 #3 Sep 08 2015 18:16:09
%S A262003 2,14,206,4754,156722,7002926,408890414,30315895970,2787655430690,
%T A262003 311698491417614,41677029833666702,6569530958412341810,
%U A262003 1205946558621750623186,255076631360949322977710,61594259272103652501480686,16842210623928858086134293314,5177422625829616613400965034818,1777829320507196831744636014160654
%N A262003  L.g.f.: log( Sum_{n>=0} x^n/n! * Product_{k=1..n} (k^3 + 1) ).
%F A262003  Logarithmic derivative of A262011.
%e A262003  L.g.f.: L(x) = 2*x + 14*x^2/2 + 206*x^3/3 + 4754*x^4/4 + 156722*x^5/5 + 7002926*x^6/6 +...
%e A262003 where
%e A262003 exp(L(x)) = 1 + 2*x + 9*x^2 + 84*x^3 + 1365*x^4 + 34398*x^5 + 1244061*x^6 +...+ A262011(n)*x^n +...
%o A262003  (PARI) {a(n) = n*polcoeff( log(sum(m=0,n+1,x^m/m!*prod(k=1,m,k^4+1)) +x*O(x^n)), n)}
%o A262003 for(n=1,30,print1(a(n),", "))
%Y A262003  Cf. A262011.
%K A262003 nonn
%O A262003 1,1
%A A262003 _Paul D. Hanna_, Sep 08 2015

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