%I #17 Jun 20 2016 19:38:48
%S 0,0,0,1,1,-1,2,0,-2,3,0,-3,4,-2,-4,4,-3,-4,4,-5,-4,3,-6,-3,2,-8,-2,1,
%T -9,-1,0,-10,0,-2,-11,2,-4,-11,4,-6,-12,6,-8,-12,8,-10,-11,10,-12,-10,
%U 12,-14,-9,14,-16,-8,16,-18,-7,18,-19,-5,19,-21,-3,21,-22,0,22,-23,2,23,-24,4,24,-24,7
%N a(n) = nearest integer to k*sin(sqrt(k)+j*Pi/2) where n = 3*k+j, 0<=j<3.
%H Chai Wah Wu, <a href="/A274097/b274097.txt">Table of n, a(n) for n = 0..10000</a>
%o (Python)
%o from sympy import sin, sqrt, pi
%o def f(n, t = 1):
%o k, j = divmod(n,t)
%o return int((k*sin(sqrt(k)+j*pi/2)).round())
%o A274097_list = [f(n,3) for n in range(10001)] # _Chai Wah Wu_, Jun 11 2016
%Y Sequences of the same type: A272695, A274086, A274087, A274088, A274090, A274091, A274092, A274095, A274096, A274097, A274101, A274102.
%K sign
%O 0,7
%A _N. J. A. Sloane_, Jun 11 2016