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Search: id:A105752
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| A105752 |
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Expansion of cos(I*ln(1+x)), I=sqrt(-1). |
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+0
1
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| 1, 0, 1, -3, 12, -60, 360, -2520, 20160, -181440, 1814400, -19958400, 239500800, -3113510400, 43589145600, -653837184000, 10461394944000, -177843714048000, 3201186852864000, -60822550204416000, 1216451004088320000, -25545471085854720000, 562000363888803840000
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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If the signs are ignored, this is essentially the same as A001710.
The nonnegative sequence has e.g.f. cos(I*ln(1-x)). The sequence 0,1,1,3,12,60,... has e.g.f. -IM(sin(I*ln(1-x))); The sequence 0,1,-1,3,-12,... has e.g.f. IM(sin(I*ln(1+x))).
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FORMULA
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E.g.f.: cos(I*ln(1+x)), I=sqrt(-1).
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CROSSREFS
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Cf. A001710.
Sequence in context: A089057 A077134 A001710 this_sequence A053532 A159867 A082278
Adjacent sequences: A105749 A105750 A105751 this_sequence A105753 A105754 A105755
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 18 2005
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