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

Author

Juri-Stepan Gerasimov, Aug 17 2008

Keywords

• nonn

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),...

Crossrefs

Cf. A000040, A002808.

Extensions

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