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A274097 a(n) = nearest integer to k*sin(sqrt(k)+j*Pi/2) where n = 3*k+j, 0<=j<3.

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