login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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.

Index entries for sequences related to the Josephus Problem

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 A308685 A133323

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 S. Plewe, May 31 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 21 01:53 EDT 2021. Contains 343143 sequences. (Running on oeis4.)