|
| |
|
|
A125092
|
|
Triangle read by rows: T(n,k)=(k+1)^2*binom(n,k) (0<=k<=n).
|
|
1
| |
|
|
1, 1, 4, 1, 8, 9, 1, 12, 27, 16, 1, 16, 54, 64, 25, 1, 20, 90, 160, 125, 36, 1, 24, 135, 320, 375, 216, 49, 1, 28, 189, 560, 875, 756, 343, 64, 1, 32, 252, 896, 1750, 2016, 1372, 512, 81, 1, 36, 324, 1344, 3150, 4536, 4116, 2304, 729, 100, 1, 40, 405, 1920, 5250, 9072
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| Binomial transform of the infinite diagonal matrix (1,4,9,16,...). Sum of entries in row n = (n+1)(n+4)*2^(n-2)=A001793(n+1).
|
|
|
EXAMPLE
| First few rows of the triangle are:
1;
1, 4;
1, 8, 9;
1, 12, 27, 16;
1, 16, 54, 64, 25;
1, 20, 90, 160, 125, 36;
...
|
|
|
MAPLE
| T:=(n, k)->(k+1)^2*binomial(n, k): for n from 0 to 11 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
|
|
|
CROSSREFS
| Cf. A001793.
Sequence in context: A128414 A192014 A019699 * A122914 A016689 A105533
Adjacent sequences: A125089 A125090 A125091 * A125093 A125094 A125095
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 19 2006
|
|
|
EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 29 2006
|
| |
|
|
