|
|
A121293
|
|
a(n) = Bell(3*n+2).
|
|
2
|
|
|
2, 52, 4140, 678570, 190899322, 82864869804, 51724158235372, 44152005855084346, 49631246523618756274, 71339801938860275191172, 128064670049908713818925644, 281600203019560266563340426570, 746289892095625330523099540639146
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: exp(-1)*Sum_{n>=0}(n^2*exp(n^3*x)/n!).
|
|
MAPLE
|
seq(combinat:-bell(3*k+2), k=0..20); # Robert Israel, Nov 02 2015
|
|
MATHEMATICA
|
|
|
PROG
|
(PARI) a000110(n) = n!*polcoeff(exp(exp(x+x*O(x^n))-1), n);
vector(20, n, n--; a000110(3*n+2)) \\ Altug Alkan, Nov 02 2015
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|