The On-Line Encyclopedia of Integer Sequences (OEIS)

A010346 revision #16

A010346

Base 5 Armstrong or narcissistic numbers (written in base 10).

1, 2, 3, 4, 13, 18, 28, 118, 289, 353, 419, 4890, 4891, 9113, 1874374, 338749352, 2415951874

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Zero would also satisfy the definition as the other single digit terms, but here only positive numbers are considered. - M. F. Hasler, Nov 20 2019

LINKS

Table of n, a(n) for n=1..17.

D. T. Winter, Table of Armstrong Numbers

Eric Weisstein's World of Mathematics, Narcissistic Number

PROG

(PARI) A010346=select( {is_A010346(n)=n==vecsum([d^#n|d<-n=digits(n, 5)])}, [0..9999]) \\ NB: this yields only terms < 10^4, for illustration of is_A010346(). Uses PARI/GP v.2.12 or later. - M. F. Hasler, Nov 20 2019

CROSSREFS

Cf. A010345 (a(n) written in base 5).

In other bases: A010344 (base 4), A010348 (base 6), A010350 (base 7), A010354 (base 8), A010353 (base 9), A005188 (base 10), A161948 (base 11), A161949 (base 12), A161950 (base 13), A161951 (base 14), A161952 (base 15), A161953 (base 16).

Sequence in context: A236440 A357954 A162222 * A295621 A295755 A089142

Adjacent sequences: A010343 A010344 A010345 * A010347 A010348 A010349

KEYWORD

base,fini,full,nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Edited by Joseph Myers, Jun 28 2009

STATUS

approved