The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A292143 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A292143

Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
(history; published version)

#14 by Joerg Arndt at Sun Sep 17 03:55:58 EDT 2017

STATUS

proposed

approved

#13 by Seiichi Manyama at Sun Sep 17 01:32:35 EDT 2017

STATUS

editing

proposed

#12 by Seiichi Manyama at Sun Sep 17 01:32:19 EDT 2017

LINKS

Seiichi Manyama, <a href="/A292143/b292143.txt">Table of n, a(n) for Rows n = 0..9981481, flattened</a>

#11 by Seiichi Manyama at Sun Sep 17 01:31:30 EDT 2017

LINKS

Seiichi Manyama, <a href="/A292143/b292143.txt">Table of n, a(n) for n = 0..9981</a>

STATUS

approved

editing

#10 by N. J. A. Sloane at Sun Sep 10 15:00:36 EDT 2017

STATUS

proposed

approved

#9 by Seiichi Manyama at Sat Sep 09 15:26:47 EDT 2017

STATUS

editing

proposed

#8 by Seiichi Manyama at Sat Sep 09 15:12:21 EDT 2017

DATA

1, 0, 1, 0, 1, 0, 1, -4, 0, 1, -4, 0, 1, -8, 0, 1, -8, -4, 0, 1, -12, -4, 0, 1, -12, -8, 0, 1, -16, -12, 0, 1, -16, -16, 16, 0, 1, -20, -20, 16, 0, 1, -20, -28, 32, 0, 1, -24, -32, 48, 0, 1, -24, -40, 80, 0, 1, -28, -48, 96, 16, 0, 1, -28, -56, 144, 16, 0, 1, -32

#7 by Seiichi Manyama at Sat Sep 09 15:07:50 EDT 2017

CROSSREFS

Row sums give A292141.

Columns 0-1 give A000007, A000012.

#6 by Seiichi Manyama at Sat Sep 09 15:06:34 EDT 2017

EXAMPLE

0, 1, -4;

0, 1, -8;

0, 1, -8, -4;

0, 1, -12, -4;

0, 1, -12, -8;

#5 by Seiichi Manyama at Sat Sep 09 15:05:19 EDT 2017

NAME

Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

EXAMPLE

[1], [0, 1], [0, 1], [0, 1, -4], [0, 1, -4], [0, 1, -8], [0, 1, -8, -4], [0, 1, -12, -4], [0, 1, -12, -8], [0, 1, -16, -12], [0, 1, -16, -16, 16]

1;

0, 1;

0, 1, -4;

0, 1, -8;

0, 1, -8, -4;

0, 1, -12, -4;

0, 1, -12, -8;

0, 1, -16, -12;

0, 1, -16, -16, 16.