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Search: id:A028298
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| A028298 |
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Triangle of coefficients in expansion of sin nx (or sin nx / cos x if n is even) in ascending powers of sin x. |
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+0
2
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| 1, 2, 3, -4, 4, -8, 5, -20, 16, 6, -32, 32, 7, -56, 112, -64, 8, -80, 192, -128, 9, -120, 432, -576, 256, 10, -160, 672, -1024, 512, 11, -220, 1232, -2816, 2816, -1024, 12, -280, 1792, -4608, 5120, -2048, 13, -364, 2912, -9984, 16640, -13312, 4096, 14, -448, 4032, -15360, 28160, -24576, 8192, 15, -560, 6048
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 5th ed., Section 1.335, p. 35.
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EXAMPLE
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sin 3x = 3 sin x - 4 sin^3 x, sin 4x / cos x = 4 sin x - 8 sin^3 x, etc.
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CROSSREFS
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Cf. A028297.
Sequence in context: A079247 A006087 A136330 this_sequence A047966 A097093 A056877
Adjacent sequences: A028295 A028296 A028297 this_sequence A028299 A028300 A028301
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KEYWORD
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nice,easy,sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Sep 08 2000
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