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A010351 Base-8 Armstrong or narcissistic numbers, written in base 8. 8
1, 2, 3, 4, 5, 6, 7, 24, 64, 134, 205, 463, 660, 661, 40663, 42710, 42711, 60007, 62047, 636703, 3352072, 3352272, 3451473, 4217603, 7755336, 16450603, 63717005, 233173324, 3115653067, 4577203604, 61777450236, 147402312024 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Whenever a term ends in 0, then a(n+1) = a(n) + 1 is also a term. 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 base-8 digits of n), but here only positive numbers are considered. - M. F. Hasler, Nov 18 2019

LINKS

Joseph Myers, Table of n, a(n) for n = 1..62 (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.

EXAMPLE

432 = 660_8 (= 6*8^2 + 6*8^1 + 0*8^0), and 6^3 + 6^3 + 0^3 = 432, therefore 660 is in the sequence. It's easy to see that 432 + 1 then also satisfies the equation, as for any term that is a multiple of 8. - M. F. Hasler, Nov 21 2019

PROG

(PARI) [fromdigits(digits(n, 8))|n<-A010354] \\ M. F. Hasler, Nov 18 2019

CROSSREFS

Cf. A010354 (a(n) written in base 10).

In other bases: A010343 (base 4), A010345 (base 5), A010347 (base 6), A010349 (base 7), A010352 (base 9), A005188 (base 10).

Sequence in context: A031054 A153687 A142594 * A183530 A173576 A024645

Adjacent sequences:  A010348 A010349 A010350 * A010352 A010353 A010354

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 July 9 09:40 EDT 2020. Contains 335542 sequences. (Running on oeis4.)