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 A333218 Numbers k such that the k-th composition in standard order is a permutation (of an initial interval). 62
 0, 1, 5, 6, 37, 38, 41, 44, 50, 52, 549, 550, 553, 556, 562, 564, 581, 582, 593, 600, 610, 616, 649, 652, 657, 664, 708, 712, 786, 788, 802, 808, 836, 840, 16933, 16934, 16937, 16940, 16946, 16948, 16965, 16966, 16977, 16984, 16994, 17000, 17033, 17036, 17041 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The k-th composition in standard order (row k of A066099) is obtained by taking the set of positions of 1's in the reversed binary expansion of k, prepending 0, taking first differences, and reversing again. LINKS EXAMPLE The sequence of terms together with their corresponding compositions begins:         0: ()             593: (3,2,4,1)      16937: (5,4,2,3,1)         1: (1)            600: (3,2,1,4)      16940: (5,4,2,1,3)         5: (2,1)          610: (3,1,4,2)      16946: (5,4,1,3,2)         6: (1,2)          616: (3,1,2,4)      16948: (5,4,1,2,3)        37: (3,2,1)        649: (2,4,3,1)      16965: (5,3,4,2,1)        38: (3,1,2)        652: (2,4,1,3)      16966: (5,3,4,1,2)        41: (2,3,1)        657: (2,3,4,1)      16977: (5,3,2,4,1)        44: (2,1,3)        664: (2,3,1,4)      16984: (5,3,2,1,4)        50: (1,3,2)        708: (2,1,4,3)      16994: (5,3,1,4,2)        52: (1,2,3)        712: (2,1,3,4)      17000: (5,3,1,2,4)       549: (4,3,2,1)      786: (1,4,3,2)      17033: (5,2,4,3,1)       550: (4,3,1,2)      788: (1,4,2,3)      17036: (5,2,4,1,3)       553: (4,2,3,1)      802: (1,3,4,2)      17041: (5,2,3,4,1)       556: (4,2,1,3)      808: (1,3,2,4)      17048: (5,2,3,1,4)       562: (4,1,3,2)      836: (1,2,4,3)      17092: (5,2,1,4,3)       564: (4,1,2,3)      840: (1,2,3,4)      17096: (5,2,1,3,4)       581: (3,4,2,1)    16933: (5,4,3,2,1)    17170: (5,1,4,3,2)       582: (3,4,1,2)    16934: (5,4,3,1,2)    17172: (5,1,4,2,3) MATHEMATICA stc[n_]:=Differences[Prepend[Join@@Position[Reverse[IntegerDigits[n, 2]], 1], 0]]//Reverse; Select[Range[0, 1000], #==0||UnsameQ@@stc[#]&&Max@@stc[#]==Length[stc[#]]&] CROSSREFS A superset of A164894. Also a superset of A246534. Not requiring the parts to be distinct gives A333217. Cf. A000120, A000142, A048793, A066099, A070939, A114994, A225620, A233564, A272919, A333219, A333221, A333255, A333256. Sequence in context: A253192 A036254 A047170 * A349051 A137254 A262308 Adjacent sequences:  A333215 A333216 A333217 * A333219 A333220 A333221 KEYWORD nonn AUTHOR Gus Wiseman, Mar 16 2020 STATUS approved

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Last modified December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)