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 A341763 Numbers whose trajectory under iteration of sum of cubes of digits (map) produce a narcissistic number greater than nine. 0
 2, 3, 5, 6, 7, 8, 9, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 50, 51, 53, 54, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 83, 84, 85 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture: all multiples of 3 are terms of this sequence. LINKS Table of n, a(n) for n=1..67. J. J. Camacho, Un Método Insospechado Para Encontrar Números Narcisistas (in Spanish) EXAMPLE For a(1) = 2: 2^3 = 8. 8^3 = 512. 5^3 + 1^3 + 2^3 = 134. 1^3 + 3^3 + 4^3 = 92. 9^3 + 2^3 = 737. 7^3 + 3^3 + 7^3 = 713. 7^3 + 1^3 + 3^3 = 371. 371 is a narcissistic number. MATHEMATICA (* A example with recurrence formula to test if the number belongs to this sequence *) f[1] = 2; f[n_] := Total[IntegerDigits[f[n - 1]]^3] Table[Total[IntegerDigits[f[n]]^3], {n, 1, 10}] CROSSREFS Cf. A055012 (sum of cubes of digits), A005188 (narcissistic numbers). Sequence in context: A198045 A068998 A152854 * A201144 A095274 A079111 Adjacent sequences: A341760 A341761 A341762 * A341764 A341765 A341766 KEYWORD nonn,base AUTHOR José de Jesús Camacho Medina, Feb 19 2021 STATUS approved

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Last modified June 2 21:57 EDT 2023. Contains 363101 sequences. (Running on oeis4.)