OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (4,-12,16,-16).
FORMULA
Sum_{k>=0} 1/a(k) = log(2), from log((1+x)/(1-x+x^2)) at x=1/2.
G.f.: (1-8*x+4*x^2)/(1-2*x+4*x^2)^2.
Sum_{n>=0} (-1)^n/a(n) = log(7/2). - Amiram Eldar, Feb 26 2022
MATHEMATICA
Table[Sin[(2*n + 5)*Pi/6]*(n + 1)*2^(n + 1), {n, 0, 27}] (* Amiram Eldar, Feb 26 2022 *)
PROG
(PARI) a(n)=[1, -1, -2, -1, 1, 2][n%6+1]*(n+1)*2^n
CROSSREFS
KEYWORD
sign
AUTHOR
Jaume Oliver Lafont, Apr 28 2010
STATUS
approved