The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A124745

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A124745

Expansion of (1+x)/(1-x^2+x^3).
(history; published version)

#28 by OEIS Server at Tue Aug 27 04:18:41 EDT 2024

LINKS

Paolo Xausa, <a href="/A124745/b124745_1.txt">Table of n, a(n) for n = 0..1000</a>

#27 by Michel Marcus at Tue Aug 27 04:18:41 EDT 2024

STATUS

reviewed

approved

Discussion

Tue Aug 27

04:18

OEIS Server: Installed first b-file as b124745.txt.

#26 by Joerg Arndt at Tue Aug 27 04:00:51 EDT 2024

STATUS

proposed

reviewed

#25 by Paolo Xausa at Tue Aug 27 03:57:10 EDT 2024

STATUS

editing

proposed

#24 by Paolo Xausa at Tue Aug 27 03:45:45 EDT 2024

DATA

1, 1, 1, 0, 0, -1, 0, -1, 1, -1, 2, -2, 3, -4, 5, -7, 9, -12, 16, -21, 28, -37, 49, -65, 86, -114, 151, -200, 265, -351, 465, -616, 816, -1081, 1432, -1897, 2513, -3329, 4410, -5842, 7739, -10252, 13581, -17991, 23833, -31572, 41824, -55405, 73396, -97229, 128801

COMMENTS

Row sums of A124744.

LINKS

Paolo Xausa, <a href="/A124745/b124745_1.txt">Table of n, a(n) for n = 0..1000</a>

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

FORMULA

a(n) = a(n-2) - a(n-3) with a(0) = a(1) = a(2) = a(3) = 1. - Taras Goy, Mar 24 2019

MATHEMATICA

LinearRecurrence[{0, 1, -1}, {1, 1, 1}, 100] (* Paolo Xausa, Aug 27 2024 *)

CROSSREFS

Row sums of A124744.

STATUS

approved

editing

#23 by Bruno Berselli at Mon Mar 25 04:33:21 EDT 2019

STATUS

reviewed

approved

#22 by Joerg Arndt at Mon Mar 25 03:05:58 EDT 2019

STATUS

proposed

reviewed

#21 by Michel Marcus at Sun Mar 24 13:57:54 EDT 2019

STATUS

editing

proposed

#20 by Michel Marcus at Sun Mar 24 13:57:40 EDT 2019

FORMULA

a(n) =sum Sum_{k=0..n, } C(floor(k/2),n-k)*(-1)^(n-k)} = (-1)^n*A078027(n).

STATUS

proposed

editing

#19 by Taras Goy at Sun Mar 24 13:31:32 EDT 2019

STATUS

editing

proposed