The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A092241 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A092241

Triangle read by rows: row n gives coefficients of (1+x+x^2)^n mod n.
(history; published version)

#6 by Joerg Arndt at Wed Apr 10 12:31:37 EDT 2013

STATUS

proposed

approved

#5 by Michel Marcus at Wed Apr 10 12:30:53 EDT 2013

STATUS

editing

proposed

#4 by Michel Marcus at Wed Apr 10 12:30:44 EDT 2013

KEYWORD

nonn,tabf

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:49:52 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Feb 20 2004

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Feb 20 2004

#1 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Triangle read by rows: row n gives coefficients of (1+x+x^2)^n mod n.

DATA

0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 3, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 3, 2, 0, 0, 3, 0, 0, 2, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 2, 0, 0, 0, 3, 0, 0, 0, 2, 0, 4, 0, 1, 1, 0, 0, 3, 0, 0, 6, 0, 0, 7, 0, 0, 6, 0, 0, 3, 0, 0, 1

OFFSET

0,19

EXAMPLE

Triangle begins:

[0]

[0, 0, 0]

[1, 0, 1, 0, 1]

[1, 0, 0, 1, 0, 0, 1]

[1, 0, 2, 0, 3, 0, 2, 0, 1]

[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]

[1, 0, 3, 2, 0, 0, 3, 0, 0, 2, 3, 0, 1]

MAPLE

f := n -> seriestolist( series( expand( (1+x+x^2)^n ) mod n, x, 2*n+1));

CROSSREFS

Cf. A053200.

KEYWORD

nonn

AUTHOR

njas, Feb 20 2004

STATUS

approved