cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A156212 G.f.: A(x) = exp( Sum_{n>=1} 2^(n^2)*A000204(n)*x^n/n ), a power series in x with integer coefficients.

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%I A156212 #2 Mar 30 2012 18:37:16
%S A156212 1,2,26,732,116390,74067484,206309321188,2332635556428984,
%T A156212 108379291296448423558,20417630652420537229303340,
%U A156212 15592143220454380480367922739340
%N A156212 G.f.: A(x) = exp( Sum_{n>=1} 2^(n^2)*A000204(n)*x^n/n ), a power series in x with integer coefficients.
%C A156212 Compare to g.f. of Fibonacci sequence: exp( Sum_{n>=1} A000204(n)*x^n/n ), where A000204 is the Lucas numbers.
%e A156212 G.f.: A(x) = 1 + 2*x + 26*x^2 + 732*x^3 + 116390*x^4 + 74067484*x^5 +...
%e A156212 log(A(x)) = 2*x + 2^4*3*x^2/2 + 2^9*4*x^3/3 + 2^16*7*x^4/4 + 2^25*11*x^5/5 +...
%o A156212 (PARI) {a(n)=polcoeff(exp(sum(m=1,n,2^(m^2)*(fibonacci(m+1)+fibonacci(m-1))*x^m/m)+x*O(x^n)),n)}
%Y A156212 Cf. A000045, A000204.
%K A156212 nonn
%O A156212 0,2
%A A156212 _Paul D. Hanna_, Feb 06 2009