A114702 - OEIS

%I #11 Sep 11 2020 04:07:32

%S 1,1,2,3,6,9,16,28,52,93,172,315,586,1091,2048,3855,7286,13797,26216,

%T 49929,95326,182361,349536,671088,1290556,2485504,4793492,9256395,

%U 17895736,34636833,67108864,130150493,252645136,490853403,954437292

%N Number of binary vectors (x_1,...x_(n-1)) satisfying Sum_{i=1..n-1} (-1)^i*i*x_i = 0 (mod n).

%H Myrto Kallipoliti, Robin Sulzgruber, and Eleni Tzanaki, <a href="https://arxiv.org/abs/2006.06949">Patterns in Shi tableaux and Dyck paths</a>, arXiv:2006.06949 [math.CO], 2020.

%F a(2*n-1) = A000048(2*n-1), a(2*n) = A000016(2*n).

%K easy,nonn

%O 2,3

%A _Vladeta Jovovic_, Feb 18 2006

%E More terms from _R. J. Mathar_, Jan 24 2008