OFFSET
0,4
COMMENTS
LINKS
Zhi-Wei Sun, Table of n, a(n) for n = 0..400
Zhi-Wei Sun, Supercongruences involving Lucas sequences, arXiv:1610.03384 [math.NT], 2016.
EXAMPLE
a(3) = -5 since a(3) = C(3, 2*0)*C(3-0, 0)(-1)^0 + C(3,2*1)*C(3-1,1)(-1)^1 = 1 - 6 = -5.
MATHEMATICA
a[n_]:=Sum[Binomial[n, 2k]Binomial[n-k, k](-1)^k, {k, 0, n}]
Table[a[n], {n, 0, 34}]
CROSSREFS
KEYWORD
sign
AUTHOR
Zhi-Wei Sun, Nov 21 2016
STATUS
approved