OFFSET
0,5
COMMENTS
a(n+1)-2a(n)= 0, 0, 1, 2, 2, 0, -6, -12, -12, 0, -44, -88, -88, 0
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 10, 0, 0, 0, 16).
FORMULA
Sequence is identical to its fourth differences in absolute value.
a(n)=10*a(n-4)+16*a(n-8), n>8. - R. J. Mathar, Feb 07 2009
G.f.: -x^3*(2*x+1)*(4*x^2+1)*(2*x^2+2*x+1)/(-1+10*x^4+16*x^8) . - R. J. Mathar, Apr 19 2023
MATHEMATICA
Join[{0}, LinearRecurrence[{0, 0, 0, 10, 0, 0, 0, 16}, {0, 0, 1, 4, 10, 20, 34, 56}, 40]] (* Harvey P. Dale, Nov 03 2013 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, Nov 01 2007
EXTENSIONS
Definition corrected and the sequence extended by R. J. Mathar, Feb 07 2009
STATUS
approved