A010350 - OEIS

A010350

Base-7 Armstrong or narcissistic numbers (written in base 10).

1, 2, 3, 4, 5, 6, 10, 25, 32, 45, 133, 134, 152, 250, 3190, 3222, 3612, 3613, 4183, 9286, 35411, 191334, 193393, 376889, 535069, 794376, 8094840, 10883814, 16219922, 20496270, 32469576, 34403018, 416002778, 416352977, 420197083, 725781499, 1500022495, 15705029375, 15705029376, 28700208851

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

OFFSET

1,2

COMMENTS

Like the other single-digit terms, zero would satisfy the definition (n = Sum_{i=1..k} d[i]^k when d[1..k] are the digits of n), but here only positive numbers are considered. - M. F. Hasler, Nov 20 2019

LINKS

Joseph Myers, Table of n, a(n) for n = 1..59 (the full list of terms, from Winter)

Eric Weisstein's World of Mathematics, Narcissistic Number

D. T. Winter, Table of Armstrong Numbers

PROG

(PARI) select( {is_A010350(n)=n==vecsum([d^#n|d<-n=digits(n, 7)])}, [0..10^6]) \\ This yields only terms < 10^6, for illustration of is_A010350(). - M. F. Hasler, Nov 20 2019

CROSSREFS

Cf. A010349 (a(n) written in base 7).

In other bases: A010344 (base 4), A010346 (base 5), A010348 (base 6), 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: A306109 A281513 A270890 * A306581 A269858 A269848

Adjacent sequences: A010347 A010348 A010349 * A010351 A010352 A010353

KEYWORD

base,fini,full,nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Edited by Joseph Myers, Jun 28 2009

STATUS

approved