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 A118363 Factorial base Niven (or Harshad) numbers: numbers that are divisible by the sum of their factorial base digits. 30
 1, 2, 4, 6, 8, 9, 12, 16, 18, 20, 24, 26, 27, 30, 35, 36, 40, 48, 52, 54, 56, 60, 70, 72, 75, 80, 90, 91, 96, 105, 108, 112, 117, 120, 122, 123, 126, 132, 135, 140, 144, 148, 150, 152, 156, 161, 168, 175, 180, 186, 192, 204, 208, 210, 222, 224, 240, 244, 245, 246 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Also called "Fiven" numbers [Dahlenberg and Edgar]. - N. J. A. Sloane, Jun 25 2018 REFERENCES Paul Dahlenberg and T. Edgar, Consecutive factorial base Niven numbers, Fib. Q., 56:2 (2018), 163-166. LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 Paul Dahlenberg and T. Edgar, Consecutive factorial base Niven numbers, preprint. Index entries for sequences related to factorial base representation EXAMPLE a(8) = 16 because it is written 220 in factorial base and 2 + 2 + 0 = 4, which is a divisor of 16. 17 is not on the list because it is written 221 in factorial base and 2 + 2 + 1 = 5, which is not a divisor of 17. MATHEMATICA (*For the definition of the factorial base version of IntegerDigits, see A007623*) Select[Range[250], IntegerQ[ #/(Plus@@factBaseIntDs[ # ])]&] PROG (Scheme, with Antti Karttunen's IntSeq-library) (define A118363 (ZERO-POS 1 1 A286604)) ;; Antti Karttunen, Jun 18 2017 (Python) def a007623(n, p=2): return n if n

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Last modified September 18 03:51 EDT 2024. Contains 375995 sequences. (Running on oeis4.)