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 A162234 Base 9 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-9 digits, for some k. 11
 0, 1, 2, 3, 4, 5, 6, 7, 8, 27, 28, 41, 50, 126, 127, 243, 244, 353, 468, 469, 1052, 1824, 2187, 2188, 8052, 8295, 9857, 19683, 19684, 36804, 65538, 65539, 177147, 177148, 1198372, 1594323, 1594324, 3357009, 3357010, 5300099, 6287267, 10097892 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Whenever a(n) is a multiple of 9, then a(n+1) = a(n) + 1 is also a base 9 perfect digital invariant, with the same exponent k. - M. F. Hasler, Nov 21 2019 LINKS Joseph Myers, Table of n, a(n) for n=1..506 (complete to 120 base 9 digits) PROG (PARI) select( {is_A162234(n, b=9)=nn|| return(t==n))}, [0..10^5]) \\ M. F. Hasler, Nov 21 2019 CROSSREFS Cf. A162235 (corresponding exponents), A010353 (restriction to power = number of digits), A033841, A162236. In other bases: A162216 (base 3), A162219 (base 4), A162222 (base 5), A162225 (base 6), A162228 (base 7), A162231 (base 8), A023052 (base 10). Sequence in context: A335900 A096986 A031097 * A024651 A004848 A183531 Adjacent sequences:  A162231 A162232 A162233 * A162235 A162236 A162237 KEYWORD base,nonn AUTHOR Joseph Myers, Jun 28 2009 STATUS approved

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Last modified November 25 14:15 EST 2020. Contains 338623 sequences. (Running on oeis4.)