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 A112557 Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire which make use of (2*n-1)-th hole for n>=1; a bisection of A002491. 11
 1, 4, 10, 18, 30, 42, 58, 78, 102, 118, 150, 174, 210, 240, 274, 322, 360, 402, 442, 498, 540, 612, 648, 718, 780, 840, 918, 990, 1054, 1122, 1200, 1278, 1392, 1428, 1548, 1632, 1714, 1834, 1882, 2040, 2118, 2242, 2314, 2434, 2580, 2662, 2760, 2922, 3054 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA To get n-th term, start with n and successively round up to next 3 multiples of n-1, n-2, ..., 1 (compare to method used by A002491). Surprisingly, a(n) = A002491(2*n-1). EXAMPLE To get 10th term: 10->36->56->70->84->95->104->111->116->118. To get 5th term: 5->16->24->28->30; since a(5) = A002491(9), compare with process used by A002491: A002491(9) = 9->16->21->24->25->28->30->30->30. MATHEMATICA f[n_] := Fold[ #2 * Ceiling[ #1/#2 + 2] &, n, Reverse @ Range[n - 1]]; Array[ f, 49] Bobby R. Treat (drbob(at)bigfoot.com), Oct 11 2005 PROG (PARI) a(n)=local(A=n, D); for(i=1, n-1, D=n-i; A=D*ceil(A/D+2)); A CROSSREFS Cf. A000012, A002491, A000960 (Flavius Josephus's sieve), A112558, A113742, A113743, A113744, A113745, A113746, A113747, A113748; A113749. Sequence in context: A025712 A283969 A022781 * A332490 A008246 A301284 Adjacent sequences: A112554 A112555 A112556 * A112558 A112559 A112560 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 10 2005 STATUS approved

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Last modified February 5 02:12 EST 2023. Contains 360082 sequences. (Running on oeis4.)