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 A193459 Total number of distinct divisors of all numbers that can be written by rearranging the digits of n in decimal representation. 4
 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 8, 3, 5, 6, 6, 3, 8, 5, 6, 8, 4, 7, 12, 8, 6, 13, 8, 7, 8, 3, 7, 4, 5, 5, 12, 3, 5, 6, 8, 5, 12, 5, 6, 11, 9, 5, 16, 6, 6, 6, 8, 5, 11, 4, 11, 8, 7, 5, 12, 6, 6, 12, 9, 11, 8, 7, 8, 14, 8, 3, 13, 3, 5, 8, 7, 4, 10, 3, 10, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) >= A000005(n), a(A193460(n)) = A000005(A193460(n)). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 EXAMPLE a(20) = #{1,2,4,5,10,20} = 6; a(21) = #{1,2,3,4,6,7,12,21} = 8; a(22) = #{1,2,11,22} = 4; a(23) = #{1,2,4,8,16,23,32} = 7; a(24) = #{1,2,3,4,6,7,8,12,14,21,24,42} = 12; a(25) = #{1,2,4,5,13,25,26,52} = 8; a(26) = #{1,2,13,26,31,62} = 6; a(27) = #{1,2,3,4,6,8,9,12,18,24,27,36,72} = 13; a(28) = #{1,2,4,7,14,28,41,82} = 8; a(29) = #{1,2,4,23,29,46,92} = 7. PROG (Haskell) import Data.List (permutations, nub) a193459 n = length \$ nub \$ concatMap divisors \$ map read \$ permutations \$ show n where divisors n = filter ((== 0) . mod n) [1..n] a193459_list = map a193459 [1..] CROSSREFS Cf. A047726. Sequence in context: A066800 A368195 A218705 * A114102 A193513 A218704 Adjacent sequences: A193456 A193457 A193458 * A193460 A193461 A193462 KEYWORD nonn,base,look AUTHOR Reinhard Zumkeller, Jul 26 2011 STATUS approved

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Last modified June 16 15:45 EDT 2024. Contains 373432 sequences. (Running on oeis4.)