The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A010353 Base-9 Armstrong or narcissistic numbers (written in base 10). 14
 1, 2, 3, 4, 5, 6, 7, 8, 41, 50, 126, 127, 468, 469, 1824, 8052, 8295, 9857, 1198372, 3357009, 3357010, 6287267, 156608073, 156608074, 403584750, 403584751, 586638974, 3302332571, 42256814922, 42256814923, 114842637961, 155896317510, 552468844242, 552468844243, 647871937482, 686031429775 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From M. F. Hasler, Nov 20 2019: (Start) 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 9 digits of n), but here only positive numbers are considered. Terms a(n+1) = a(n) + 1 (n = 11, 13, 20, 23, 25, 29, 33, 48, 51, 57) correspond to solutions a(n) that are multiples of 9, in which case a(n) + 1 is also a solution. (End) LINKS Joseph Myers, Table of n, a(n) for n = 1..58 (the full list of terms, from Winter) Eric Weisstein's World of Mathematics, Narcissistic Number D. T. Winter, Table of Armstrong Numbers EXAMPLE 126 = 150_9 (= 1*9^2 + 5*9^1 + 0*9^0) = 1^3 + 5^3 + 0^3. It is easy to see that 126 + 1 then also satisfies this relation, as for all other terms that are multiples of 9. - M. F. Hasler, Nov 20 2019 PROG (PARI) select( {is_A010353(n)=n==vecsum([d^#n|d<-n=digits(n, 9)])}, [0..10^4]) \\ This gives only terms < 10^6, for illustration of is_A010353(). - M. F. Hasler, Nov 20 2019 CROSSREFS Cf. A010352 (a(n) written in base 9). In other bases: A010344 (base 4), A010346 (base 5), A010348 (base 6), A010350 (base 7), A010354 (base 8), A005188 (base 10), A161948 (base 11), A161949 (base 12), A161950 (base 13), A161951 (base 14), A161952 (base 15), A161953 (base 16). Sequence in context: A004848 A183531 A024652 * A010352 A024653 A024654 Adjacent sequences:  A010350 A010351 A010352 * A010354 A010355 A010356 KEYWORD base,fini,full,nonn AUTHOR EXTENSIONS Edited by Joseph Myers, Jun 28 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 7 05:20 EDT 2020. Contains 334837 sequences. (Running on oeis4.)