# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a010351 Showing 1-1 of 1 %I A010351 #31 Jan 17 2020 14:07:41 %S A010351 1,2,3,4,5,6,7,24,64,134,205,463,660,661,40663,42710,42711,60007, %T A010351 62047,636703,3352072,3352272,3451473,4217603,7755336,16450603, %U A010351 63717005,233173324,3115653067,4577203604,61777450236,147402312024 %N A010351 Base-8 Armstrong or narcissistic numbers, written in base 8. %C A010351 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 %H A010351 Joseph Myers, Table of n, a(n) for n = 1..62 (the full list of terms, from Winter) %H A010351 Gordon L. Miller and Mary T. Whalen, Armstrong Numbers: 153 = 1^3 + 5^3 + 3^3, Fibonacci Quarterly, 30-3 (1992), 221-224. %H A010351 Eric Weisstein's World of Mathematics, Narcissistic Number %H A010351 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. %e A010351 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 %o A010351 (PARI) [fromdigits(digits(n,8))|n<-A010354] \\ _M. F. Hasler_, Nov 18 2019 %Y A010351 Cf. A010354 (a(n) written in base 10). %Y A010351 In other bases: A010343 (base 4), A010345 (base 5), A010347 (base 6), A010349 (base 7), A010352 (base 9), A005188 (base 10). %K A010351 base,fini,full,nonn %O A010351 1,2 %A A010351 _N. J. A. Sloane_ %E A010351 Edited by _Joseph Myers_, Jun 28 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE