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 A047726 Number of different numbers that are formed by permuting digits of n. 24
 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 COMMENTS The minimum value of a(A171102(n)) is 10*9!. - Altug Alkan, Jul 08 2016 LINKS A. Dunigan AtLee, Table of n, a(n) for n = 1..100000. FORMULA a(n) << n / (log_10 n)^4.5 by Stirling's approximation. - Charles R Greathouse IV, Sep 29 2011 a(n) = A000142(A055642(n))/Product_{k=0..9} A000142(A100910(n,k)). - Robert Israel, Jul 08 2016 EXAMPLE From 102 we get 102 120 210 201 12 and 21, so a(102)=6. MAPLE f:= proc(n) local L;   L:= convert(n, base, 10);   nops(L)!/mul(numboccur(i, L)!, i=0..9); end proc: map(f, [\$1..1000]); # Robert Israel, Jul 08 2016 MATHEMATICA pd[n_]:=Module[{p=Permutations[IntegerDigits[n]]}, Length[Union [FromDigits/@p]]]; pd/@Range[120]  (* Harvey P. Dale, Mar 22 2011 *) PROG (Haskell) import Data.List (permutations, nub) a047726 n = length \$ nub \$ permutations \$ show n -- Reinhard Zumkeller, Jul 26 2011 (PARI) a(n)=n=eval(Vec(Str(n))); (#n)!/prod(i=0, 9, sum(j=1, #n, n[j]==i)!) \\ Charles R Greathouse IV, Sep 29 2011 CROSSREFS Cf. A055098. Identical to A043537 and A043562 for n<100. Cf. A179239. - Aaron Dunigan AtLee, Jul 14 2010 Sequence in context: A043561 A043562 A043537 * A043563 A043538 A043564 Adjacent sequences:  A047723 A047724 A047725 * A047727 A047728 A047729 KEYWORD nonn,easy,base,nice AUTHOR EXTENSIONS Corrected by Henry Bottomley, Apr 19 2000 STATUS approved

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