A135385 - OEIS

%I #8 Oct 09 2017 15:33:56

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

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

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

%H N. J. A. Sloane, <a href="/A195264/a195264.pdf">Confessions of a Sequence Addict (AofA2017)</a>, slides of invited talk given at AofA 2017, Jun 19 2017, Princeton. Mentions this sequence.

%H N. J. A. Sloane, Three (No, 8) Lovely Problems from the OEIS, Experimental Mathematics Seminar, Rutgers University, Oct 05 2017, <a href="https://vimeo.com/237029685">Part I</a>, <a href="https://vimeo.com/237030304">Part 2</a>, <a href="https://oeis.org/A290447/a290447_slides.pdf">Slides.</a> (Mentions this sequence)

%e Under the powertrain map of A133500, 2^5*3^4 = 2592 -> 2^5*9^2 = 2592.

%e 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.

%K nonn,base

%O 1,3

%A _J. H. Conway_ and _N. J. A. Sloane_, Dec 11 2007, Dec 19 2007