

A185615


Numbers n such that n divides A000201(n)^m for some integer m>0, where A000201 is the lower Wythoff sequence


3



1, 4, 8, 25, 50, 108, 169, 243, 256, 338, 486, 512, 729, 768, 972, 1024, 1156, 1215, 2312, 3375, 5000, 7921, 8192, 8748, 10000, 12800, 15000, 15842, 20000, 25000, 50176, 54289, 85184, 88209, 100352, 104976, 108578, 131072, 176418, 177147
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OFFSET

1,2


COMMENTS

Let n = p_1^{e_1}*p_2^{e_2}*...*p_r^{e_r}. Then, n is in this sequence iff p_1*p_2*...*p_r divides A000201(n).
Many of these terms are powers of fibonacci numbers.
Perhaps this is expected, since A000201 involves floor(n*phi).


LINKS

Table of n, a(n) for n=1..40.


EXAMPLE

For n=8, A000201(8)=12. Since 8 divides 12^2, 8 is in this sequence.
For n=9, A000201(9)=14. Since 9 cannot divide 14^m for any m, 9 is not in this sequence.


CROSSREFS

Cf. A000201, A185616, A185617.
Sequence in context: A131637 A163143 A154586 * A068367 A000964 A107840
Adjacent sequences: A185612 A185613 A185614 * A185616 A185617 A185618


KEYWORD

nonn


AUTHOR

Paul D. Hanna and Sean A. Irvine, Jan 31 2011


STATUS

approved



