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 A338834 a(n) is the greatest number not yet in the sequence with the same number of digits and the same sum of digits as n in factorial base. 3
 0, 1, 2, 4, 3, 5, 6, 12, 8, 18, 14, 20, 7, 13, 10, 19, 16, 22, 9, 15, 11, 21, 17, 23, 24, 48, 30, 72, 54, 96, 26, 50, 49, 78, 74, 102, 36, 73, 60, 98, 97, 108, 56, 84, 80, 104, 103, 114, 25, 32, 31, 55, 52, 79, 28, 51, 42, 76, 75, 100, 38, 66, 62, 99, 90, 110 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence is a self-inverse permutation of the nonnegative integers. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..5039 Rémy Sigrist, Colored scatterplot of the first 7! terms (where the color is function of A034968(n)) Rémy Sigrist, PARI program for A338834 FORMULA A084558(a(n)) = A084558(n). A034968(a(n)) = A034968(n). EXAMPLE For n = 26: - the numbers with 4 digits and sum of digits 2 in factorial base are: 25 ("1001"), 26 ("1010"), 30 ("1100") and 48 ("2000"), - so a(25) = 40,      a(26) = 30,      a(30) = 26,      a(40) = 25. PROG (PARI) See Links section. CROSSREFS Cf. A034968, A084558, A337598, A338829 (decimal analog), A338835 (primorial base analog). Sequence in context: A086434 A086433 A102568 * A338835 A210536 A102767 Adjacent sequences:  A338831 A338832 A338833 * A338835 A338836 A338837 KEYWORD nonn,base AUTHOR Rémy Sigrist, Nov 11 2020 STATUS approved

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Last modified May 25 13:50 EDT 2022. Contains 354071 sequences. (Running on oeis4.)