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.

A152909 Largest k such that k! < 2^(2^n).

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%I A152909 #6 May 29 2015 21:16:58
%S A152909 1,2,3,5,8,12,20,34,57,98,170,300,536,966,1754,3210,5910,10944,20366,
%T A152909 38064,71421,134480,254016,481176,913846,1739680,3318996,6344666,
%U A152909 12150874,23310032,44787927,86181405,166057045,320370847,618821160
%N A152909 Largest k such that k! < 2^(2^n).
%C A152909 a(4) = 8 is the largest number whose factorial can be stored as a 16-bit unsigned integer.
%C A152909 a(5) = 12 is the largest number whose factorial can be stored as a 32-bit unsigned integer.
%C A152909 a(7) = 34 is the largest number whose factorial can be stored as an IEEE single-precision floating-point number (limit is just under 2^128).
%C A152909 a(10) = 170 is the largest number whose factorial can be stored as an IEEE double-precision floating-point number (limit is just under 2^1024).
%C A152909 a(14) = 1754 is the largest number whose factorial can be stored in common implementations of quadruple-precision floating-point numbers.
%Y A152909 Cf. A119906.
%K A152909 nonn
%O A152909 0,2
%A A152909 _Jon E. Schoenfield_, Dec 15 2008