A135385 Fixed points of the map m -> powertrain(m) (see A133500 for definition).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2592, 24547284284866560000000000

Offset

1,3

Comments

Probably there are no other terms. There are no other terms below 10^100.

Links

Table of n, a(n) for n=1..12.

N. J. A. Sloane, Confessions of a Sequence Addict (AofA2017), slides of invited talk given at AofA 2017, Jun 19 2017, Princeton. Mentions this sequence.

N. J. A. Sloane, Three (No, 8) Lovely Problems from the OEIS, Experimental Mathematics Seminar, Rutgers University, Oct 05 2017, Part I, Part 2, Slides. (Mentions this sequence)

Example

Under the powertrain map of A133500, 2^5*3^4 = 2592 -> 2^5*9^2 = 2592.
2^46*3^6*5^10*7^2 = 24547284284866560000000000 -> 2^4*5^4*7^2*8^4*2^8*4^8*6^6*5^6*0^0*0^0*0^0*0^0*0^0 = 24547284284866560000000000.

Crossrefs

Sequence in context: A282782 A032565 A004915 * A087051 A082217 A082935

Adjacent sequences: A135382 A135383 A135384 * A135386 A135387 A135388

Keyword

nonn,base

Author

J. H. Conway and N. J. A. Sloane, Dec 11 2007, Dec 19 2007

Status

approved