A018872 a(n)^5 is smallest fifth power beginning with n.

0, 1, 3, 2, 21, 9, 23, 6, 61, 25, 4, 26, 66, 42, 17, 69, 7, 28, 18, 72, 29, 116, 47, 75, 3, 48, 192, 77, 31, 124, 79, 5, 2, 32, 51, 129, 205, 13, 52, 33, 21, 53, 212, 134, 85, 34, 136, 86, 137, 87, 55, 22, 35, 14, 352, 56, 224, 142, 226, 9, 36, 144, 91, 363, 23, 58, 146, 232, 147, 37

Offset: 0

Author

David W. Wilson

Keywords

• nonn
• base

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), this sequence (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), A018882 (k=10).

Programs

PARI

a(n) = my(k=0, ss=Str(n)); while(strsplit(Str(k^5), ss)[1] != "", k++); k; \\ Michel Marcus, Aug 19 2025

Formula

a(n^5) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017