

A336580


Numbers k such that A334676(k) = 1.


2



1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15, 24, 25, 35, 36, 45, 48, 72, 75, 125, 135, 140, 144, 175, 216, 225, 250, 270, 280, 288, 375, 384, 432, 540, 625, 675, 864, 875, 1080, 1125, 1250, 1296, 1350, 1575, 1620, 1680, 1728, 1750, 1800, 1875, 1944, 2160, 2250, 2500
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OFFSET

1,2


COMMENTS

All terms are 7smooth (A002473).
This sequence is infinite as it contains the powers of 5.


LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Illustration of terms < 1000
Rémy Sigrist, PARI program for A336580


EXAMPLE

Regarding the number 540:
 540 / 4 = 135,
 135 / 3 = 45,
 45 / 5 = 9,
 9 / 9 = 1,
 so A334676(540) = 1
 and 540 belongs to this sequence.


PROG

(PARI) for (n=1, #keep=vector(2500, n, n==1), if (keep[n], print1 (n ", "); for (d=2, min(9, #keep\n), if (setsearch (Set(digits(nd=n*d)), d), keep[nd]=1))))
(PARI) See Links section.


CROSSREFS

Cf. A000351, A002473, A334676.
Sequence in context: A002271 A048381 A185186 * A115569 A343682 A343744
Adjacent sequences: A336577 A336578 A336579 * A336581 A336582 A336583


KEYWORD

nonn,base


AUTHOR

Rémy Sigrist, Jul 26 2020


STATUS

approved



