OFFSET
0,2
COMMENTS
Hankel transform is 1, 2, -8, -32, -256, 4096, ... (signed version of A134751).
FORMULA
G.f.: (sqrt(1-4x+4x^2+8x^3)+4x-1)/(2x(1-2x));
g.f.: 1/(1-2x/(1-x/(1+x/(1-2x/(1-x/(1+x/(1-2x/(1-... (continued fraction).
a(n) = Sum_{k=0..n} A198379(n,k)*2^k. - Philippe Deléham, Oct 29 2011
Conjecture: (n+1)*a(n) - 6*n*a(n-1) + 12*(n-1)*a(n-2) - 12*a(n-3) + 8*(7-2*n)*a(n-4) = 0. - R. J. Mathar, Nov 13 2012
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Mar 05 2010
EXTENSIONS
First formula corrected by Philippe Deléham, Feb 16 2012
STATUS
approved