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 A010354 Base-8 Armstrong or narcissistic numbers (written in base 10). 16
 1, 2, 3, 4, 5, 6, 7, 20, 52, 92, 133, 307, 432, 433, 16819, 17864, 17865, 24583, 25639, 212419, 906298, 906426, 938811, 1122179, 2087646, 3821955, 13606405, 40695508, 423056951, 637339524, 6710775966, 13892162580, 32298119799, 97095152738, 98250308556, 98317417420, 125586038802 (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 base 8 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..62 (the full list of terms, from Winter) Eric Weisstein's World of Mathematics, Narcissistic Number D. T. Winter, Table of Armstrong Numbers EXAMPLE From M. F. Hasler, Nov 20 2019: (Start) 20 = 24_8 (in base 8), and 2^2 + 4^2 = 20. 432 = 660_8, and 6^3 + 6^3 + 0^3 = 432; it's easy to see that 432 + 1 then also satisfies the equation, as for any term that is a multiple of 8. (End) PROG (PARI) select( {is_A010354(n)=n==vecsum([d^#n|d<-n=digits(n, 8)])}, [0..10^6]) \\ This gives only terms < 10^6, for illustration of is_A010354(). - M. F. Hasler, Nov 20 2019 CROSSREFS Cf. A010351 (a(n) written in base 8). In other bases: A010344 (base 4), A010346 (base 5), A010348 (base 6), A010350 (base 7), 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: A200333 A024644 A297182 * A070759 A282138 A106275 Adjacent sequences:  A010351 A010352 A010353 * A010355 A010356 A010357 KEYWORD base,fini,full,nonn AUTHOR EXTENSIONS Edited by Joseph Myers, Jun 28 2009 STATUS approved

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Last modified May 26 08:39 EDT 2020. Contains 334620 sequences. (Running on oeis4.)