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A274092
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a(n) = nearest integer to k^2*sin(sqrt(k)+j*Pi/2) where n = 3*k+j, 0<=j<3.
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12
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0, 0, 0, 1, 1, -1, 4, 1, -4, 9, -1, -9, 15, -7, -15, 20, -15, -20, 23, -28, -23, 23, -43, -23, 20, -61, -20, 11, -80, -11, -2, -100, 2, -21, -119, 21, -46, -137, 46, -76, -151, 76, -111, -162, 111, -150, -167, 150, -194, -167, 194, -240, -161, 240, -289, -147, 289, -339, -125, 339, -389, -95, 389
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OFFSET
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0,7
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LINKS
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MAPLE
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Digits:=50:
ft:=proc(n, t) local k, j;
j:=(n mod t); k:=(n-j)/t;
round(evalf(k^2*sin(sqrt(k)+j*Pi/2)));
end;
[seq(ft(n, 3), n=0..120)];
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PROG
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(Python)
from sympy import sin, sqrt, pi
k, j = divmod(n, 3)
return int((k**2*sin(sqrt(k)+j*pi/2)).round()) # Chai Wah Wu, Jun 10 2016
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CROSSREFS
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Sequences of the same type: A272695, A274086, A274087, A274088, A274090, A274091, A274092, A274095, A274096, A274097, A274101, A274102.
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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