|
|
A055883
|
|
Exponential transform of Pascal's triangle A007318.
|
|
1
|
|
|
1, 1, 1, 2, 4, 2, 5, 15, 15, 5, 15, 60, 90, 60, 15, 52, 260, 520, 520, 260, 52, 203, 1218, 3045, 4060, 3045, 1218, 203, 877, 6139, 18417, 30695, 30695, 18417, 6139, 877, 4140, 33120, 115920, 231840, 289800, 231840, 115920, 33120, 4140, 21147
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
Triangle T(n,k), 0 <= k <= n, read by rows, given by [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] DELTA [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Aug 10 2005
|
|
LINKS
|
|
|
FORMULA
|
a(n,k) = Bell(n)*C(n,k).
E.g.f.: A(x,y) = exp(exp(x+xy)-1).
|
|
EXAMPLE
|
1;
1, 1;
2, 4, 2;
5, 15, 15, 5;
15, 60, 90, 60, 15; ...
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|