The On-Line Encyclopedia of Integer Sequences (OEIS)

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A084348

Triangle in which row n gives periodic part of a certain map.
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:39:18 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Jun 22 2003

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,tabl,new

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Jun 22 2003

#3 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

nonn,tabl,new

AUTHOR

Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Jun 22 2003

#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

KEYWORD

nonn,tabl,new

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoomodulonet.fr), Jun 22 2003

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

NAME

Triangle in which row n gives periodic part of a certain map.

DATA

0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 5, 4, 5, 2, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 0, 1, 6, 5, 4, 1, 2, 5, 7, 2, 2, 4, 2, 8, 1, 2, 5, 6, 5, 6, 7, 0, 1, 0, 1, 2, 5, 5, 10, 7, 10, 5, 8, 7, 5, 1, 2, 5, 4, 5, 2, 1, 8, 5, 10, 5, 8, 1, 2, 5, 3, 0, 1, 7, 11, 11, 9, 0, 1, 0, 1, 2, 5, 2, 9, 4, 11, 8, 9, 12, 9, 2

OFFSET

1,4

COMMENTS

Let r(k,n)=floor(e*k!)-n*floor(e*k!/n) then for any n integer>0, sequence r(k,n) is n-periodic. Sequence gives periods of r(k,n) for fixed n.

EXAMPLE

If n=7, r(k,7) is sequence 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5, 2, 2, 4, 4, 1, 2, 5...... 7-periodic with period: (2, 5, 2, 2, 4, 4, 1,)

CROSSREFS

Cf. A084351.

KEYWORD

nonn,tabl

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoo.fr), Jun 22 2003

STATUS

approved