

A180265


a(n) = smallest k such that sigma(k) = 14^n, or zero if no such k exists.


6



1, 13, 0, 1164, 15132, 230484, 2823492, 36705396, 508541124, 7194470556, 100696385244, 1503091145388, 19540184890044, 273550891167372, 3811871194625676, 53378900339114532, 727176010568075796, 10177815744800162004, 142523339476298463228, 1994910930816765350844, 27918212600229725023068
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OFFSET

0,2


LINKS

Max Alekseyev, Table of n, a(n) for n = 0..100


EXAMPLE

a(0)=1 since sigma(1)=14^0=1. a(1)=13 since sigma(13)=14. a(2)=0 since no N exists such that sigma(N)=14^2. a(6)=2823492=2^2*3*7*33613 since sigma(2823492)=14^6 is the first 6th power. a(7)=36705396=2^2*3*7*13*33613 since sigma(36705396)=14^7 is the first 7th power.


CROSSREFS

Cf. A046528, A048251, A110077, A180460, A180461, A180462, A180463, A180464
Sequence in context: A094902 A252056 A096069 * A165400 A181154 A251072
Adjacent sequences: A180262 A180263 A180264 * A180266 A180267 A180268


KEYWORD

nonn


AUTHOR

Walter Kehowski, Aug 22 2010


EXTENSIONS

Edited (including bfile) by N. J. A. Sloane, Oct 05 2010
Terms a(25) onward from Max Alekseyev, Mar 04 2014


STATUS

approved



