|
|
A056543
|
|
a(n) = n*a(n-1) - 1 with a(1)=1.
|
|
3
|
|
|
1, 1, 2, 7, 34, 203, 1420, 11359, 102230, 1022299, 11245288, 134943455, 1754264914, 24559708795, 368395631924, 5894330110783, 100203611883310, 1803665013899579, 34269635264092000, 685392705281839999, 14393246810918639978, 316651429840210079515, 7282982886324831828844
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
If s(n) is a sequence defined by s(0)=x, s(n)=(n+1)*s(n-1)+k, n>0, then s(n) = n!*x +(n! - a(n+1))*k. - Gary Detlefs, Jun 10 2010
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
a(4) = 4*a(3) - 1 = 4*2 - 1 = 7.
|
|
MATHEMATICA
|
nxt[{n_, a_}]:={n+1, a(n+1)-1}; NestList[nxt, {1, 1}, 30][[All, 2]] (* Harvey P. Dale, Dec 31 2022 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|