|
|
A295518
|
|
a(n) = e^2 * Sum_{k=0..n-1} Gamma(k + 1, 2).
|
|
1
|
|
|
0, 1, 4, 14, 52, 220, 1092, 6388, 43588, 341444, 3022660, 29835844, 324782916, 3864151876, 49875956548, 694041238340, 10356520497988, 164956188717892, 2793150548587332, 50100649026499396, 948943120107352900, 18925792541725471556, 396439630395708060484
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (2*n-4)*a(n-3)+(3-3*n)*a(n-2)+(2+n)*a(n-1) for n >= 3.
|
|
MAPLE
|
a := proc(n) option remember; if n=0 then 0 elif n=1 then 1 elif n=2 then 4 else
(2*n-4)*a(n-3)+(3-3*n)*a(n-2)+(2+n)*a(n-1) fi end: seq(a(n), n=0..22);
|
|
MATHEMATICA
|
a[n_] := E^2 Sum[Gamma[k + 1, 2], {k, 0, n-1}]; Table[a[n], {n, 0, 22}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|