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A113743
Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1.
12
1, 7, 19, 37, 61, 87, 123, 163, 207, 253, 307, 373, 447, 511, 589, 673, 763, 843, 949, 1087, 1179, 1309, 1393, 1531, 1693, 1807, 1933, 2119, 2263, 2439, 2559, 2761, 2967, 3147, 3327, 3499, 3691, 3883, 4123, 4309, 4603, 4783, 5067, 5209, 5539, 5763, 6013
OFFSET
1,2
FORMULA
a(4*n-3) = A112558(5*n-4), a(8*n-7) = A000960(15*n-14), for n>=1.
EXAMPLE
a(1)=1: 1;
a(2)=7: 2->7;
a(3)=19: 3->14->19;
a(4)=37: 4->21->32->37;
a(5)=61: 5->28->45->56->61;
a(6)=87: 6->35->56->72->82->87;
a(7)=123: 7->42->70->92->108->118->123;
a(8)=163: 8->49->84->110->132->147->158->163;
a(9)=207: 9->56->91->126->155->176->192->202->207;
a(10)=253: 10->63->104->140->174->200->220->237->248->253.
MATHEMATICA
f[n_] := Fold[ #2*Ceiling[ #1/#2 + 5] &, n, Reverse@Range[n - 1]]; Array[f, 47]
PROG
(PARI) a(n)=local(A=n, D); for(i=1, n-1, D=n-i; A=D*ceil(A/D+5)); A
CROSSREFS
Cf. {k=-1..12} A000012, A002491, A000960 (Flavius Josephus's sieve), A112557, A112558, A113742, A113743, A113744, A113745, A113746, A113747, A113748; det. A113749.
Sequence in context: A136057 A177092 A023224 * A003215 A308685 A133323
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 12 2005
EXTENSIONS
Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 31 2007
STATUS
approved