OFFSET
0,3
COMMENTS
The inverse binomial transform of this sequence yields 1, 0, -3, -8,..., which is 1 followed by the negated terms of A005563. [Paul Curtz, Dec 07 2010]
The smallest odd prime divisor of a(n) is >= 13. - Vladimir Shevelev, Feb 03 2014
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
Conjecture: G.f.: -(4*x-1)*(x-1) / ( (2*x-1)^3 ) and a(n) = 2^n-n*(n+1)*2^(n-2). - R. J. Mathar, Dec 11 2010
MAPLE
MATHEMATICA
Table[2^n - n*(n + 1)*2^(n - 2), {n, 0, 26}] (* Wesley Ivan Hurt, Dec 02 2013 *)
PROG
(Magma) [2^n-n*(n+1)*2^(n-2): n in [0..30]]; // Vincenzo Librandi, Aug 11 2011
CROSSREFS
KEYWORD
sign
AUTHOR
Paul Barry, Jan 10 2007
STATUS
approved