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 A109175 Minimum number of moves to solve the first Panex puzzle of order n of transferring a side tower to the center column. 2
 1, 3, 9, 24, 58, 143, 345, 836, 2018, 4875, 11769, 28416, 68602, 165623, 399849, 965324, 2330498, 5626323, 13583145, 32792616, 79168378, 191129375, 461427129, 1113983636, 2689394402, 6492772443, 15674939289, 37842651024, 91360241338 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Mark Manasse et al., The Panex puzzle, in Tribute to a Mathemagician, Peters, 2005, pp. 145-161. LINKS Table of n, a(n) for n=1..29. N. Baxter, Panex Puzzle Resources. FORMULA for n>=3: a(n) = ((7/4)*(-1 + sqrt(2)))*(1 + sqrt(2))^n + ((7/4)*(-1 - sqrt(2)))*(1 - sqrt(2))^n + ((-1)^n)/2 - 1. CROSSREFS Cf. A109224, A115185. Sequence in context: A089830 A258111 A360197 * A120539 A357718 A086796 Adjacent sequences: A109172 A109173 A109174 * A109176 A109177 A109178 KEYWORD nonn AUTHOR William Rex Marshall, Aug 19 2005 STATUS approved

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)