|
| |
|
|
A085771
|
|
Triangle A059438(n,k), 0<=k<=n, with an extra column of zeros.
|
|
3
| |
|
|
1, 0, 1, 0, 1, 1, 0, 3, 2, 1, 0, 13, 7, 3, 1, 0, 71, 32, 12, 4, 1, 0, 461, 177, 58, 18, 5, 1, 0, 3447, 1142, 327, 92, 25, 6, 1, 0, 29093, 8411, 2109, 531, 135, 33, 7, 1, 0, 273343, 69692, 15366, 3440, 800, 188, 42, 8, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,8
|
|
|
COMMENTS
| 1; 0,1; 0,1,1; 0,3,2,1; 0,13,7,3,1; ......
|
|
|
REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 262 (#14).
|
|
|
FORMULA
| Let f(x) = Sum_{n>=0} n!*x^n, g(x) = 1 - 1/f(x). Then g(x) is g.f. for second diagonal A003319.
Triangle T(n, k) read by rows, given by [0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] DELTA A000007 where DELTA is Deleham's operator defined in A084938.
G.f.: 1/(1-xy/(1-x/(1-2x/(1-2x/(1-3x/(1-3x/(1-4x/(1-.... (continued fraction). [From Paul Barry (pbarry(AT)wit.ie), Jan 29 2009]
|
|
|
CROSSREFS
| Cf. A003319, A059439, A059440, A055998, A059438.
Cf. A000007 A084938 A059438.
Sequence in context: A035327 A004444 A204533 * A111106 A202820 A113081
Adjacent sequences: A085768 A085769 A085770 * A085772 A085773 A085774
|
|
|
KEYWORD
| easy,nonn,tabl
|
|
|
AUTHOR
| DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jul 22 2003
|
| |
|
|
