A141569 Bases and exponents in the prime decomposition of n replaced by composites with these indices.

4, 6, 8, 46656, 10, 48, 14, 1679616, 262144, 60, 20, 373248, 22, 84, 80, 10077696, 27, 1572864, 30, 466560, 112, 120, 35, 13436928, 1000000, 132, 16777216, 653184, 44, 480, 46, 60466176, 160, 162, 140, 12230590464, 54, 180, 176, 16796160, 58, 672, 62

Offset

1,1

Comments

Start from the prime decomposition of n, not writing down exponents which equal 1. That is the list 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3,.. Replace each number i in this representation by the i-th composite c(i)=A002808(i). This generates the sequence of a(n), namely c(1), c(2), c(3), c(2)^c(2), c(5), c(2)*c(3), c(7), c(2)^c(3), c(3)^c(2), c(2)*c(5), c(11), c(2)^c(2)*c(3),...

Links

Table of n, a(n) for n=1..43.

Crossrefs

Cf. A000040, A002808.

Sequence in context: A013284 A013290 A095211 * A200621 A210665 A228586

Adjacent sequences: A141566 A141567 A141568 * A141570 A141571 A141572

Keyword

nonn

Author

Juri-Stepan Gerasimov, Aug 17 2008

Extensions

Edited and corrected by R. J. Mathar, Aug 21 2008

Status

approved