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

Author

Scott R. Shannon, Jan 20 2020

Keywords

• nonn
• base

Comments

This is a subsequence of A331565.

Examples

			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.
		

Links

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

Crossrefs

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

Extensions

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