OFFSET
0,2
COMMENTS
This is the column k=1 sequence of the Riordan triangle A248156 without a leading zero.
LINKS
Index entries for linear recurrences with constant coefficients, signature (-3,-3,-1).
FORMULA
O.g.f.: (1 - 2*x^2)/(1 + x)^3 = -2/(1 + x) + 4/(1 + x)^2 - 1/(1 + x)^3.
a(n) = (-1)^n*(4*(2*n+1) - (n+1)*(n+2))/2, n >= 0.
a(n) = -3*(a(n-1) + a(n-2)) - a(n-3), n >= 3 with a(0) = 1, a(1) = -3 and a(2) = 4.
a(n) = (-1)^(n+1)*A046691(n-5). - R. J. Mathar, Mar 13 2021
a(n)+a(n+1) = A248157(n+1). - R. J. Mathar, Mar 13 2021
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang, Oct 05 2014
STATUS
approved