The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A133110 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A133110

Triangle read by rows: A007318 * A133109.
(history; published version)

#8 by Alois P. Heinz at Thu Jun 01 14:55:15 EDT 2023

STATUS

proposed

approved

#7 by Georg Fischer at Thu Jun 01 14:54:25 EDT 2023

STATUS

editing

proposed

#6 by Georg Fischer at Thu Jun 01 14:54:19 EDT 2023

NAME

Triangle read by rows: A007318 * A133109.

DATA

1, 1, 3, 1, 6, 4, 1, 9, 12, 5, 1, 12, 24, 20, 7, 1, 15, 40, 50, 35, 8, 1, 18, 60, 100, 105, 48, 9, 1, 21, 84, 175, 245, 168, 63, 11, 1, 24, 112, 280, 490, 448, 252, 88, 12, 1, 27, 144, 420, 88, 882, 1008, 756, 396, 108, 13, 1, 30, 180, 600, 1470, 2016, 1890, 1320, 540, 130, 15, 1, 33, 220, 825, 2310, 3696, 4158, 3630, 1980, 715, 165, 16

CROSSREFS

Cf. A133109, A007318, A100335, A133109.

EXTENSIONS

a(50) corrected and more terms from Georg Fischer, Jun 01 2023

STATUS

approved

editing

#5 by Michael De Vlieger at Sun Mar 20 22:55:23 EDT 2022

STATUS

proposed

approved

#4 by Jon E. Schoenfield at Sun Mar 20 21:36:52 EDT 2022

STATUS

editing

proposed

#3 by Jon E. Schoenfield at Sun Mar 20 21:36:50 EDT 2022

COMMENTS

Row sums = A100335: (1, 4, 11, 27, 64, 149, ...).

EXAMPLE

First few rows of the triangle are:

1;

1, 3;

1, 6, 4;

1, 9, 12, 5;

1, 12, 24, 20, 7;

1, 15, 40, 50, 35, 8;

1, 18, 60, 100, 105, 48, 9;

...

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:25:25 EDT 2012

AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Sep 12 2007

Discussion

Fri Mar 30

17:25

OEIS Server: https://oeis.org/edit/global/135

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

A007318 * A133109.

DATA

1, 1, 3, 1, 6, 4, 1, 9, 12, 5, 1, 12, 24, 20, 7, 1, 15, 40, 50, 35, 8, 1, 18, 60, 100, 105, 48, 9, 1, 21, 84, 175, 245, 168, 63, 11, 1, 24, 112, 280, 490, 448, 252, 88, 12, 1, 27, 144, 420, 88, 1008, 756, 396, 108, 13

OFFSET

1,3

COMMENTS

Row sums = A100335: (1, 4, 11, 27, 64, 149,...).

FORMULA

Binomial transform of A133109, as an infinite lower triangular matrix.

EXAMPLE

First few rows of the triangle are:

1;

1, 3;

1, 6, 4;

1, 9, 12, 5;

1, 12, 24, 20, 7;

1, 15, 40, 50, 35, 8;

1, 18, 60, 100, 105, 48, 9;

...

CROSSREFS

Cf. A133109, A100335.

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 12 2007

STATUS

approved