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A274102
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a(n) = nearest integer to k*sin(sqrt(k)+j*Pi) where n = 2*k+j, j=0 or 1.
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12
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0, 0, 1, -1, 2, -2, 3, -3, 4, -4, 4, -4, 4, -4, 3, -3, 2, -2, 1, -1, 0, 0, -2, 2, -4, 4, -6, 6, -8, 8, -10, 10, -12, 12, -14, 14, -16, 16, -18, 18, -19, 19, -21, 21, -22, 22, -23, 23, -24, 24, -24, 24, -24, 24, -24, 24, -23, 23, -23, 23, -22, 22, -20, 20, -19, 19, -17, 17, -15, 15, -13, 13, -10, 10, -7
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OFFSET
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0,5
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 0..10000
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FORMULA
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a(2n) = A274095(n), a(2n+1) = -A274095(n). - Chai Wah Wu, Jun 11 2016
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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*sin(sqrt(k)+j*Pi)));
end;
[seq(ft(n, 2), n=0..120)];
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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.
Sequence in context: A349393 A341155 A341166 * A261100 A130249 A286105
Adjacent sequences: A274099 A274100 A274101 * A274103 A274104 A274105
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Jun 11 2016
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EXTENSIONS
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Definition corrected by N. J. A. Sloane, Jun 20 2016
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STATUS
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approved
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