Revision History for A133935
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing all changes.
|
| |
| |
| |
|
|
#5 by Jon E. Schoenfield at Wed Mar 23 01:07:39 EDT 2022
| |
| |
| |
|
|
#4 by Jon E. Schoenfield at Wed Mar 23 00:48:26 EDT 2022
| |
| |
| |
|
|
#3 by Jon E. Schoenfield at Wed Mar 23 00:48:24 EDT 2022
|
|
| COMMENTS
|
Row sums = A133936: (1, 2, 6, 14, 32, 72, 160,...), ...).
|
|
| FORMULA
|
Binomial transform of an infinite lower triangular matrix with A093178: (1, 1, 3, 1, 5, 1, 7,...) , ...) in the main diagonal and the rest zeros.
|
|
| EXAMPLE
|
First few rows of the triangle are:
1;
1, 1;
1, 2, , 3;
1, 3, , 9, , 1;
1, 4, 18, , 4, , 5;
1, 5, 30, 10, , 25, , 1;
1, 6, 45, 20, , 75, , 6, , 7;
1, 7, 63, 35, 175, 21, 49, 1;
...
...
|
|
| 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 29 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 * A093178 as a diagonalized matrix.
|
|
| DATA
|
1, 1, 1, 1, 2, 3, 1, 3, 9, 1, 1, 4, 18, 4, 5, 1, 5, 30, 10, 25, 1, 1, 6, 45, 20, 75, 6, 7, 1, 7, 63, 35, 175, 21, 49, 1, 1, 8, 84, 56, 350, 56, 196, 8, 9, 1, 9, 108, 84, 630, 126, 588, 36, 81, 1
|
|
| OFFSET
|
0,5
|
|
| COMMENTS
|
Row sums = A133936: (1, 2, 6, 14, 32, 72, 160,...)
|
|
| FORMULA
|
Binomial transform of an infinite lower triangular matrix with A093178: (1, 1, 3, 1, 5, 1, 7,...) in the main diagonal and the rest zeros.
|
|
| EXAMPLE
|
First few rows of the triangle are:
1;
1, 1;
1, 2, 3;
1, 3, 9, 1;
1, 4, 18, 4, 5;
1, 5, 30, 10, 25, 1;
1, 6, 45, 20, 75, 6, 7;
1, 7, 63, 35, 175, 21, 49, 1;
...
|
|
| CROSSREFS
|
Cf. A093178, A133936.
|
|
| KEYWORD
|
nonn,tabl
|
|
| AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 29 2007
|
|
| STATUS
|
approved
|
| |
| |
|
|
