The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A261867 Triangle T(n, k) read by rows (n >= 1, 1 <= k <= n), where row n gives the lexicographically first permutation of n cards that is a winning (or reformed) deck at Cayley's Mousetrap. 0
 1, 1, 2, 1, 3, 2, 1, 2, 4, 3, 1, 2, 5, 3, 4, 1, 2, 4, 3, 6, 5, 1, 2, 3, 7, 6, 5, 4, 1, 2, 3, 5, 8, 4, 6, 7, 1, 2, 3, 4, 8, 5, 7, 9, 6, 1, 2, 3, 4, 6, 9, 8, 7, 10, 5, 1, 2, 3, 4, 6, 7, 5, 11, 8, 10, 9, 1, 2, 3, 4, 5, 8, 10, 6, 12, 9, 11, 7, 1, 2, 3, 4, 5, 6, 9, 12, 7, 10, 13, 11, 8, 1, 2, 3, 4, 5, 6, 10, 9, 14, 13, 8, 11, 12, 7, 1, 2, 3, 4, 5, 6, 8, 9, 12, 7, 14, 10, 15, 13, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..120. Arthur Cayley, On the game of Mousetrap, Quarterly Journal of Pure and Applied Mathematics 15 (1878), pp. 8-10. Adolph Steen, Some formulas respecting the game of Mousetrap, Quarterly Journal of Pure and Applied Mathematics 15 (1878), pp. 230-241. EXAMPLE With four cards in the order 1243 the player will win the first time (out of six times), taking the cards away in the order 1342, i.e., the cards held in hand develop from 1243 -> 243 -> 24 -> 2. Triangle starts with 1 1, 2 1, 3, 2 1, 2, 4, 3 1, 2, 5, 3, 4 ... CROSSREFS Cf. A007709, A028305. Sequence in context: A114905 A200651 A126597 * A076081 A304089 A209281 Adjacent sequences: A261864 A261865 A261866 * A261868 A261869 A261870 KEYWORD nonn,tabl AUTHOR Martin Renner, Sep 03 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 23 10:25 EDT 2024. Contains 374547 sequences. (Running on oeis4.)