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 A133046 Starting from the standard 12 against 12 starting position in checkers, the sequence gives the number of distinct move sequences after n moves. 2
 1, 7, 49, 302, 1469, 7361, 36768, 179740, 845931, 3963680, 18391564, 85242128, 388623673, 1766623630, 7978439499, 36263167175, 165629569428, 758818810990, 3493881706141, 16114043592799, 74545030871553, 345100524480819, 1602372721738102, 7437536860666213, 34651381875296000, 161067479882075800, 752172458688067137, 3499844183628002605, 16377718018836900735 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Duplicate captures (viz. the situation where a king can capture the same pieces in different directions) are counted separately. REFERENCES C. A. Pickover, The Math Book, Sterling, NY, 2009; see p. 512. LINKS A. Bik, Aart's Computer Checkers Page M. Fierz, CheckerBoard I. Korshunov, Title? Jonathan Schaeffer et al., Checkers is solved, Science, Vol. 317. no. 5844, pp. 1518-1522, Sep 14 2007. CROSSREFS Cf. A133047, A055213. Sequence in context: A113235 A294261 A294293 * A200783 A267230 A188868 Adjacent sequences:  A133043 A133044 A133045 * A133047 A133048 A133049 KEYWORD nonn,nice AUTHOR Jonathan Schaeffer (jonathan(AT)cs.ualberta.ca), Dec 27 2007 EXTENSIONS a(12)-a(20) computed by Aart Bik and sent by Richard Bean, Sep 18 2009 a(21)-a(26) computed by Aart Bik, with last two completed Sep 18 2012. Rein Halbersma was first to compute a(22). Murray Cash confirmed Aart's a(23) and a(24) results. a(27)-a(28) first computed by Aart Bik, Sep 2012. Paul Byrne confirmed Aart's a(23)-a(28). STATUS approved

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Last modified February 28 04:39 EST 2020. Contains 332321 sequences. (Running on oeis4.)