A045870 Number of times the digits are repeated in A045869.

1, 1, 2, 1, 1, 2, 2, 4, 2, 2, 2, 1, 6, 4, 4, 8, 8, 8, 4, 3, 6, 3, 12, 3, 3, 6, 6, 12, 12, 6, 6, 10, 10, 10, 5, 10, 5, 5, 20, 5, 10, 7, 14, 28, 22, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 22, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 2

Offset

0,3

Links

Table of n, a(n) for n=0..96.

Naohiro Nomoto, In the list of divisors of n, ...

Example

A045869(1) = 2034, and the divisors of 2034_5 = 269 (a prime) are 1 and 269; in base 5, these are 1 and 2034. Each digit from 0 through 4 appears exactly once, so a(1) = 1.
A045869(2) = 2403; 2403_5 = 353 (a prime) has divisors 1 and 353, which in base 5 are 1 and 2403, so each digit in 0..4 appears exactly once, so a(2) = 2.
A045869(3) = 2430; 2430_5 = 365 = 5*73, so its divisors are 1, 5, 73, and 365, which in base 5 are 1, 10, 243, and 2430, so each digit in 0..4 appears exactly twice, so a(3) = 2.

Crossrefs

Cf. A038564, A038565, A045869.

Sequence in context: A103784 A153916 A238597 * A309890 A229037 A361933

Adjacent sequences: A045867 A045868 A045869 * A045871 A045872 A045873

Keyword

easy,nonn,base

Author

Naohiro Nomoto

Extensions

Examples edited by Jon E. Schoenfield, Nov 12 2022

Status

approved