OFFSET
0,2
LINKS
Peter Luschny, Generalized Eulerian polynomials.
FORMULA
a(n) = 2^(1+n)*(3^n+sum_{j=0..n}(binomial(n,j)*Li_{-j}(-1)*3^(n-j))).
a(n) = 2^(t+1)*(zeta(-t)*(1-2^(t+1))+(2^t-1)). - Peter Luschny, Jul 20 2013
MAPLE
MATHEMATICA
Table[2^(t+1)*(Zeta[-t]*(1-2^(t+1))+(2^t-1)), {t, 0, 24}] (* Peter Luschny, Jul 20 2013 *)
Table[EulerE[n, 3] 2^n , {n, 0, 20}] (* Vladimir Reshetnikov, Oct 21 2015 *)
PROG
CROSSREFS
KEYWORD
sign
AUTHOR
Peter Luschny, Apr 29 2013
STATUS
approved