A331561 The base-10 numbers with a digit product > 0 and which when written in bases 3,4,5,6,7,8,9 have three or more other base representations with the same digit product.

1, 2, 3, 4, 5, 6, 12563124891, 115233863842, 123858133813, 363254652118, 1324658354423, 1511864334458, 1825693128524, 2321856215149, 2632654133853, 3146626254542, 3521445321466, 12462982162122, 12496523158865, 13129883155583, 13443165514365, 14213435966581

Offset

1,2

Comments

This is a subsequence of A331565.

Links

Giovanni Resta, Table of n, a(n) for n = 1..61 (terms < 10^14)

Example

6 is a term as 6_10 = 6_7 = 6_8 = 6_9, so it has three other base representations where the digit product also equals 6.
12563124891 is a term as 12563124891_10 = 5434343211123_6 = 623216541162_7 = 135464411233_8, so it has three other base representations where the digit product also equals 103680.
115233863842 is a term as 115233863842_10 = 124534313342214_6 = 11216413452466_7 = 1532436234242_8, so it has three other base representations where the digit product also equals 829440.

Crossrefs

Cf. A007954, A007089, A007090, A007091, A007092, A007093, A007094, A007095, A331565.

Sequence in context: A330928 A164699 A228050 * A308070 A067570 A133303

Adjacent sequences: A331558 A331559 A331560 * A331562 A331563 A331564

Keyword

nonn,base

Author

Scott R. Shannon, Jan 20 2020

Extensions

Terms a(10) and beyond from Giovanni Resta, Jan 27 2020

Status

approved