|
| |
|
|
A137153
|
|
Triangle, read by rows, where T(n,k) = C(2^k + n-k-1, n-k).
|
|
3
| |
|
|
1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 10, 8, 1, 1, 5, 20, 36, 16, 1, 1, 6, 35, 120, 136, 32, 1, 1, 7, 56, 330, 816, 528, 64, 1, 1, 8, 84, 792, 3876, 5984, 2080, 128, 1, 1, 9, 120, 1716, 15504, 52360, 45760, 8256, 256, 1, 1, 10, 165, 3432, 54264, 376992, 766480, 357760, 32896
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
COMMENTS
| Matrix inverse is A137156.
|
|
|
EXAMPLE
| Triangle begins:
1;
1, 1;
1, 2, 1;
1, 3, 4, 1;
1, 4, 10, 8, 1;
1, 5, 20, 36, 16, 1;
1, 6, 35, 120, 136, 32, 1;
1, 7, 56, 330, 816, 528, 64, 1;
1, 8, 84, 792, 3876, 5984, 2080, 128, 1;
1, 9, 120, 1716, 15504, 52360, 45760, 8256, 256, 1;
1, 10, 165, 3432, 54264, 376992, 766480, 357760, 32896, 512, 1; ...
|
|
|
PROG
| (PARI) T(n, k)=binomial(2^k+n-k-1, n-k)
|
|
|
CROSSREFS
| Cf. A137154 (row sums), A137155 (antidiagonal sums), A060690 (central terms); A137156 (matrix inverse).
Sequence in context: A162717 A122175 A073165 * A063841 A137596 A111669
Adjacent sequences: A137150 A137151 A137152 * A137154 A137155 A137156
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jan 24 2008
|
| |
|
|
