A377032 Odd numbers k such that A000045(k)/A000005(k) is an integer.
1, 3, 405, 625, 1875, 50625, 354375, 556875, 658125, 860625, 961875, 1164375, 1468125, 1500625, 1569375, 1873125, 2075625, 2176875, 2379375, 2683125, 2986875, 3088125, 3391875, 3594375, 3695625, 3720087, 3999375, 4201875, 4501875, 4505625, 4910625, 5113125, 5214375, 5416875, 5518125, 5720625
Offset: 1
Keywords
Examples
a(3) = 405 is a term because 405 = 3^4 * 5 is odd, tau(405) = 10, and Fibonacci(405) = 1952132532477489958194625524584538730388053593825001030592563956919572392152809678530 is divisible by 10.
Links
- Robert Israel, Table of n, a(n) for n = 1..250
Programs
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Maple
filter:= proc(n) uses LinearAlgebra:-Modular; local t, Mt,dt; t:= numtheory:-tau(n); if t < 2^25 then Mt:= Mod(t, M, float[8]) else Mt:= Mod(t, M, integer) fi;; MatrixPower(t,M,n)[1,2] = 0 end proc: filter(1):= true: select(filter, [seq(i,i=1..600000,2)]);
Comments