

A292113


List of numbers n such that A039654(n) reaches a new record high.


6



2, 3, 4, 8, 9, 32, 36, 64, 81, 100, 121, 144, 228, 256, 300, 400, 441, 468, 800, 1200, 2964, 5202, 5408, 6084, 6400, 7500, 8100, 9216, 24556, 28092, 31329, 32176, 32400, 37296, 49017, 49152, 57600, 72156, 80400, 83161, 86352, 88200, 133200
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Naively, one might have expected these numbers to have some other distinguishing property (primorials, perhaps), but that seems not to be the case.
Except for 3 of the listed terms, a(n)1 or a(n)+1 has at most 2 prime divisors. The same is true for many of the terms themselves, often of the form 2^k, 3^k, 2^k*3^k' or 2^k*5^k'. (Factorization of the terms: 2, 3, 2^2, 2^3, 3^2, 2^5, 2^2*3^2, 2^6, 3^4, 2^2*5^2, 11^2, 2^4*3^2, 2^2*3*19, 2^8, 2^2*3*5^2, 2^4*5^2, 3^2*7^2, 2^2*3^2*13, 2^5*5^2, ...)  M. F. Hasler, Sep 25 2017


LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..56


PROG

(PARI) m=n=1; until(print1(n", "), until(A039654(n++)>m, ); m=A039654(n)) \\ M. F. Hasler, Sep 25 2017


CROSSREFS

Cf. A039654, A039655, A292112.
Sequence in context: A126312 A126298 A175404 * A082224 A030478 A118252
Adjacent sequences: A292110 A292111 A292112 * A292114 A292115 A292116


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Sep 22 2017


STATUS

approved



