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A010346 Base-5 Armstrong or narcissistic numbers (written in base 10). 14
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.

Eric Weisstein's World of Mathematics, Narcissistic Number

D. T. Winter, Table of Armstrong Numbers

PROG

(PARI) A010346=select( is_A010346(n)={n==vecsum([d^#n|d<-n=digits(n, 5)])}, [0..9999]) \\ This yields only terms < 10^4 (i.e., all but the last 3 terms), for illustration of is_A010346(). In older versions of PARI, use {n==sum(i=1, #n=digits(n, 5), n[i]^#n)}. - 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: A295396 A236440 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

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)