OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
B. Chern, P. Diaconis, D. M. Kane, R. C. Rhoades, Closed expressions for averages of set partition statistics, 2013.
MATHEMATICA
Table[n BellB[n-1] + n (n-1) BellB[n-2], {n, 0, 30}] (* Vincenzo Librandi, Jul 16 2013 *)
PROG
(PARI) B(n) = if (n<=1, return (1), return (sum(i=0, n-1, binomial(n-1, i)*B(n-1-i))))
a(n) = n*B(n-1) + n*(n-1)*B(n-2)
(Magma) [0, 1] cat [n*Bell(n-1)+n*(n-1)*Bell(n-2): n in [2..25]]; // Vincenzo Librandi, Jul 16 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Jun 19 2013
STATUS
approved