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 A275551 Number of classes of endofunctions of [n] under vertical translation mod n and reversal. 13
 1, 1, 2, 6, 36, 325, 3924, 58996, 1049088, 21526641, 500010000, 12968792826, 371504434176, 11649044974645, 396857394156608, 14596463098125000, 576460752571858944, 24330595941321312961, 1092955779880368226560, 52063675149116964615310, 2621440000000512000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS There are two size of classes, n or 2n. n   c:n    c:2n   (c:n)/n  (c:2n)/n 0   1 1   1 2   2 3   3      3      1        1 4   8      28     2        7 5   25     300    5        60 6   72     3852   12       642 7   343    58653  49       8379 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..100 EXAMPLE a(2) = 2: 11, 12. a(3) = 6: 111, 112, 113, 121, 123, 131. a(4) = 36: 1111, 1112, 1113, 1114, 1121, 1122, 1123, 1124, 1131, 1132, 1133, 1134, 1141, 1142, 1143, 1212, 1213, 1214, 1221, 1223, 1224, 1231, 1234, 1241, 1242, 1243, 1312, 1313, 1323, 1324, 1331, 1334, 1341, 1412, 1423, 1441. PROG (PARI) \\ see A056391 for Polya enumeration functions a(n) = NonequivalentSorts(ReversiblePerms(n), CyclicPerms(n)); \\ Andrew Howroyd, Sep 30 2017 CROSSREFS Cf. A000312 All endofunctions Cf. A000169 Classes under translation mod n Cf. A001700 Classes under sort Cf. A056665 Classes under rotation Cf. A168658 Classes under complement to n+1 Cf. A130293 Classes under translation and rotation Cf. A081721 Classes under rotation and reversal Cf. A275549 Classes under reversal Cf. A275550 Classes under reversal and complement Cf. A275552 Classes under translation and complement Cf. A275553 Classes under translation, complement and reversal Cf. A275554 Classes under translation, rotation and complement Cf. A275555 Classes under translation, rotation and reversal Cf. A275556 Classes under translation, rotation, complement and reversal Cf. A275557 Classes under rotation and complement Cf. A275558 Classes under rotation, complement and reversal Sequence in context: A306066 A061302 A055541 * A321085 A133822 A133892 Adjacent sequences:  A275548 A275549 A275550 * A275552 A275553 A275554 KEYWORD nonn AUTHOR Olivier Gérard, Aug 02 2016 EXTENSIONS Terms a(8) and beyond from Andrew Howroyd, Sep 30 2017 STATUS approved

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Last modified September 20 17:16 EDT 2020. Contains 337265 sequences. (Running on oeis4.)