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.

A120959 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^(2^n) )...)^8)^4)^2.

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%I A120959 #5 Dec 24 2013 15:43:11
%S A120959 1,1,2,9,84,1540,54522,3734454,498851832,131025111932,68094916593416,
%T A120959 70324929555472825,144712913119662777792,594305955799647611394896,
%U A120959 4875569433937264188593935824,79943787791004406866072303453528
%N A120959 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^(2^n) )...)^8)^4)^2.
%C A120959 Limit a(n)/2^[n*(n-1)/2] = 1.97254925752982255...
%e A120959 G.f.: A(x) = 1 + x*B(x)^2; B(x) = 1 + x*C(x)^4; C(x) = 1 + x*D(x)^8;
%e A120959 D(x) = 1 + x*E(x)^16; E(x) = 1 + x*F(x)^32; ...
%e A120959 where the respective sequences begin:
%e A120959 B=[1,1,4,38,724,26385,1837224,247455640,65256486712,...];
%e A120959 C=[1,1,8,156,6008,436870,60346328,16118073852,8445009616488,...];
%e A120959 D=[1,1,16,632,48944,7110684,1956587408,1040720206536,...];
%e A120959 E=[1,1,32,2544,395104,114749560,63023951008,66902165283280,...];
%e A120959 F=[1,1,64,10208,3175104,1843872240,2023417888576,...].
%o A120959 (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(2^(n-j))); polcoeff(A, n)}
%Y A120959 Cf. A234296, A095793.
%K A120959 nonn
%O A120959 0,3
%A A120959 _Paul D. Hanna_, Jul 28 2006