The On-Line Encyclopedia of Integer Sequences (OEIS)

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Diagonal sums of Riordan array (1-x-x^2,x(1-x)).
(history; published version)

#5 by Charles R Greathouse IV at Sat Jun 13 00:51:52 EDT 2015

LINKS

<a href="/index/Rec#order_03">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,1,-1).

Discussion

Sat Jun 13

00:51

OEIS Server: https://oeis.org/edit/global/2439

#4 by R. J. Mathar at Fri Nov 09 08:59:54 EST 2012

STATUS

editing

approved

#3 by R. J. Mathar at Fri Nov 09 08:59:50 EST 2012

LINKS

<a href="/index/Rec#order_03">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,1,-1).

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:59:08 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, Jun 24 2005

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/287

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

NAME

Diagonal sums of Riordan array (1-x-x^2,x(1-x)).

DATA

1, -1, 0, -2, 1, -2, 3, -3, 5, -6, 8, -11, 14, -19, 25, -33, 44, -58, 77, -102, 135, -179, 237, -314, 416, -551, 730, -967, 1281, -1697, 2248, -2978, 3945, -5226, 6923, -9171, 12149, -16094, 21320, -28243, 37414, -49563, 65657, -86977, 115220, -152634, 202197, -267854, 354831, -470051, 622685, -824882

OFFSET

0,4

FORMULA

G.f.: (1-x-x^2)/(1-x^2+x^3); a(n)=a(n-2)-a(n-3).

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 24 2005

STATUS

approved