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A249988
Integer part of sine of n degrees multiplied by 1000.
0
0, 17, 34, 52, 69, 87, 104, 121, 139, 156, 173, 190, 207, 224, 241, 258, 275, 292, 309, 325, 342, 358, 374, 390, 406, 422, 438, 453, 469, 484, 500, 515, 529, 544, 559, 573, 587, 601, 615, 629, 642, 656, 669, 681, 694, 707, 719, 731, 743, 754, 766, 777, 788, 798, 809, 819, 829, 838, 848, 857, 866
OFFSET
0,2
COMMENTS
Due to multiplication by 1000 almost all a(n) are different for n<90, the only exception is a(89)=a(88)=999.
FORMULA
a(n) = round(1000*sin(pi*n/180)), where round() is the rounding towards zero function.
a(360+n) = a(n).
a(180+n) = -a(n).
EXAMPLE
sin(pi/2) = sin(90 deg.) = 1, so a(90)=1000.
MATHEMATICA
Table[IntegerPart[1000*Sin[n Degree]], {n, 0, 60}] (* Harvey P. Dale, May 22 2015 *)
PROG
(Python)
import math
for n in range(381): print str(int(math.trunc(1000*math.sin(math.pi*n/180))))+', ',
CROSSREFS
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Nov 11 2014
EXTENSIONS
Corrected and extended by Harvey P. Dale, May 22 2015
STATUS
approved