

A010346


Base5 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
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OFFSET

1,2


COMMENTS

Zero would also satisfy the definition as the other singledigit 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^#nd<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



