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A permutation of {0, 1, ..., 1023} corresponding to lexicographical ordering A262557 of numbers with decreasing digits A009995.
7

%I #15 Dec 11 2019 22:03:44

%S 0,1,2,4,8,16,32,64,128,256,512,3,5,6,9,10,12,17,18,20,24,33,34,36,40,

%T 48,65,66,68,72,80,96,129,130,132,136,144,160,192,257,258,260,264,272,

%U 288,320,384,513,514,516,520,528,544,576,640,768,7,11,13,14

%N A permutation of {0, 1, ..., 1023} corresponding to lexicographical ordering A262557 of numbers with decreasing digits A009995.

%C For n = 1..1023, A262557(a(n)) = A009995(n).

%C Cycle type = (1^12, 3^2, 10^2, 74, 912), i.e., this permutation has 12 fixed points, two 3-cycles and two 10-cycles, and two more cycles of length 74 and 912. See A263355 for the list of these cycles, A263383 for the length of the n-th cycle (ordered by increasing largest element).

%H Reinhard Zumkeller, <a href="/A263327/b263327.txt">Table of n, a(n) for n = 0..1023</a>

%o (Haskell)

%o a263327 0 = 0

%o a263327 n = head [x | x <- [1..1023], a262557 x == a009995' n]

%o (PARI) A263327=vecsort(A262557,,1) \\ Does not include a(0)=0. - _M. F. Hasler_, Dec 11 2019

%Y Cf. A009995, A262557, A263328 (inverse), A263329 (fixed points), A263383, A263355 (cycles).

%K nonn,fini,full

%O 0,3

%A _Reinhard Zumkeller_, Oct 15 2015

%E Edited by _M. F. Hasler_, Dec 11 2019