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Search: id:A160636
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| 1, 0, -1, -2, -8, 0, 128, 1024, 16384, 0, -4194304, -134217728, -8589934592, 0, 35184372088832, 4503599627370496, 1152921504606846976, 0, -75557863725914323419136, -38685626227668133590597632
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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The absolute value sequence has general term 2^floor(C(n,2)/2)*(3/4-cos(pi*n/4)-sin(pi*n/2)/2).
Hankel transform of A114464(n+1) is A160637.
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FORMULA
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a(n)=2^floor(C(n,2)/2)*((sqrt(2)/2-1/2)sin(3*pi*n/4)+pi/4)+(sqrt(2)/2+1/2)cos(pi*n/4+pi/4)).
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CROSSREFS
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Sequence in context: A058964 A021360 A028256 this_sequence A024544 A081882 A155694
Adjacent sequences: A160633 A160634 A160635 this_sequence A160637 A160638 A160639
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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), May 21 2009
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