A117884 Numbers at which the average multiplicative persistence of the interval (0,n) sets a new record.

0, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 65, 66, 67, 68, 69, 73, 74, 75, 76, 77, 78, 79, 84, 85, 86, 87, 88, 89, 93, 94, 95, 96

Offset

0,2

Comments

This sequence seems to be finite. a(525)=9999 seems to be the last term, at a record of 2.282. No higher value found up to 100,000 Is the average multiplicative persistence of (0,Inf) = 1 ???

Links

Table of n, a(n) for n=0..69.

Eric Weisstein's World of Mathematics, Multiplicative Persistence.

Example

E.g."39 belongs to the sequence because the average multiplicative persistence of the interval (0,39)= 1.05 which sets a new record. 40 is not because the average multiplicative persistence of the interval (0,40) = 1.048 which is not a record value"

Crossrefs

Cf. A003001, A031346.

Sequence in context: A001637 A308407 A102494 * A133506 A046510 A174140

Adjacent sequences: A117881 A117882 A117883 * A117885 A117886 A117887

Keyword

nonn

Author

Sergio Pimentel, May 02 2006

Status

approved