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A010347 Base-6 Armstrong or narcissistic numbers, written in base 6. 8
1, 2, 3, 4, 5, 243, 514, 14340, 14341, 14432, 23520, 23521, 44405, 435152, 5435254, 12222215, 555435035, 1053025020422, 1053122514003, 1435403205450, 1435403205451, 1450005114454, 2135254510352, 2145555022413, 2500150125455, 133024510545125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

From M. F. Hasler, Nov 18 2019: (Start)

Whenever a(n) ends in 0 (n = 8, 11, 20, 28), then a(n+1) = a(n) + 1 also satisfies the definition.

Like the other single-digit terms, zero would satisfy the definition (n = Sum_{i=1..k} d[i]^k where d[1..k] are the base 6 digits of n), but here only positive numbers are considered. (End)

LINKS

Joseph Myers, Table of n, a(n) for n = 1..30 (the full list of terms, from Winter)

Gordon L. Miller and Mary T. Whalen, Armstrong Numbers: 153 = 1^3 + 5^3 + 3^3, Fibonacci Quarterly, 30-3 (1992), 221-224.

Eric Weisstein's World of Mathematics, Narcissistic Number

D. T. Winter, Table of Armstrong Numbers (latest backup on web.archive.org from Jan. 2010; page no longer available), published not later than Aug. 2003.

PROG

(PARI) A010347=[fromdigits(digits(n, 6))|n<-A010348] \\ M. F. Hasler, Nov 18 2019

(PARI) select( is_A010347(n)={vecmax(n=digits(n+!n))<6 && vecsum([d^#n|d<-n])==fromdigits(n, 6)}, [0..10^5]) \\ M. F. Hasler, Nov 20 2019

CROSSREFS

Cf. A010348 (a(n) written in base 10).

In other bases: A010343 (base 4), A010345 (base 5), A010349 (base 7), A010351 (base 8), A010352 (base 9), A005188 (base 10).

Sequence in context: A274028 A037436 A115900 * A004878 A062942 A032546

Adjacent sequences:  A010344 A010345 A010346 * A010348 A010349 A010350

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 May 26 14:52 EDT 2020. Contains 334626 sequences. (Running on oeis4.)