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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..47.

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.

Cf. A002491, A000960, A112557, A112558.

Sequence in context: A136057 A177092 A023224 * A003215 A133323 A002407

Adjacent sequences:  A113740 A113741 A113742 * A113744 A113745 A113746

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 12 2005

EXTENSIONS

Edited by N. J. A. Sloane at the suggestion of Andrew Plewe, May 31 2007

STATUS

approved

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Last modified September 25 12:52 EDT 2017. Contains 292469 sequences.