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Revision History for A143316 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Triangle read by rows, A054525 * A143315, 1<=k<=n.
(history; published version)
#6 by Michel Marcus at Mon Aug 14 06:53:35 EDT 2023
STATUS

reviewed

approved

#5 by Joerg Arndt at Mon Aug 14 06:25:41 EDT 2023
STATUS

proposed

reviewed

#4 by Georg Fischer at Mon Aug 14 06:10:22 EDT 2023
STATUS

editing

proposed

#3 by Georg Fischer at Mon Aug 14 06:09:39 EDT 2023
DATA

1, 2, 1, 4, 0, 1, 4, 2, 0, 1, 8, 0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 1, 12, 0, 0, 0, 0, 0, 1, 8, 4, 0, 2, 0, 0, 0, 1, 12, 0, 4, 0, 0, 0, 0, 0, 1, 8, 8, 0, 0, 2, 0, 0, 0, 0, 1, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 4, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 12, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1

COMMENTS

Row sums = 2n2*n-1.

FORMULA

Triangle read by rows, A054525 * A143315, 1<=k<=n

CROSSREFS
EXTENSIONS

a(19) corrected and more terms from Georg Fischer, Aug 14 2023

STATUS

approved

editing

Discussion
Mon Aug 14
06:10
Georg Fischer: More terms in order to fill the last row. a(19) was ok in example
#2 by Russ Cox at Fri Mar 30 17:25:31 EDT 2012
AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Aug 06 2008

Discussion
Fri Mar 30
17:25
OEIS Server: https://oeis.org/edit/global/135
#1 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009
NAME

Triangle read by rows, A054525 * A143315, 1<=k<=n.

DATA

1, 2, 1, 4, 0, 1, 4, 2, 0, 1, 8, 0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 1, 12, 0, 0, 0, 0, 0, 1, 8, 4, 0, 2, 0, 0, 0, 1, 12, 0, 4, 0, 0, 0, 0, 0, 1, 8, 8, 0, 0, 2, 0, 0, 0, 0, 1, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 4, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

OFFSET

1,2

COMMENTS

Row sums = 2n-1

Left border = A140434: (1, 2, 4, 4, 8, 4, 12, 8,...).

FORMULA

Triangle read by rows, A054525 * A143315, 1<=k<=n

EXAMPLE

First few rows of the triangle =

1;

2, 1;

4, 0, 1;

4, 2, 0, 1;

8, 0, 0, 0, 1;

4, 4, 2, 0, 0, 1;

12, 0, 0, 0, 0, 0, 1;

8, 4, 0, 2, 0, 0, 0, 1;

...

CROSSREFS
KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 06 2008

STATUS

approved