|
|
A218499
|
|
7th iteration of the hyperbinomial transform on the sequence of 1's.
|
|
3
|
|
|
1, 8, 78, 911, 12524, 199403, 3624706, 74300269, 1699264792, 42964199279, 1191492782054, 35994106307321, 1177389200637028, 41482632276082915, 1566911405137366450, 63190697224460246477, 2710704012199936430000, 123277690401078017104343, 5925900498827152433216446
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
See A088956 for the definition of the hyperbinomial transform.
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: exp(x) * (-LambertW(-x)/x)^7.
a(n) = Sum_{j=0..n} 7 * (n-j+7)^(n-j-1) * C(n,j).
Hyperbinomial transform of A218498.
|
|
MAPLE
|
a:= n-> add(7*(n-j+7)^(n-j-1)*binomial(n, j), j=0..n):
seq (a(n), n=0..20);
|
|
MATHEMATICA
|
Table[Sum[7*(n-j+7)^(n-j-1)*Binomial[n, j], {j, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 18 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|