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.

A090855 a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 2^n.

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%I A090855 #12 Sep 28 2019 04:49:06
%S A090855 1,4,10,24,55,127,288,640,1408,3069,6642,14281,30544,65028,137896,
%T A090855 291399,613885,1289715,2702909,5652038,11795170,24570079,51095155,
%U A090855 106092067,219972452,455493427,942031726,1946056082,4015916211
%N A090855 a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 2^n.
%F A090855 floor( agm(a(n), 1) ) = 2^n, for n>=0.
%t A090855 Flatten[{1, Table[Ceiling[y /. FindRoot[Log[Pi/(2*EllipticK[1 - y^2])] == n*Log[2], {y, n*2^n}, MaxIterations -> 1000]], {n, 1, 50}]}] (* _Vaclav Kotesovec_, Sep 28 2019 *)
%Y A090855 Cf. A090852, A090854, A090856.
%K A090855 nonn
%O A090855 0,2
%A A090855 _Paul D. Hanna_, Dec 10 2003