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A158916
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Inverse binomial transform of A153130.
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3
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1, 1, 1, 1, -8, 19, -35, 64, -125, 253, -512, 1027, -2051, 4096, -8189, 16381, -32768, 65539, -131075, 262144, -524285, 1048573, -2097152, 4194307, -8388611, 16777216, -33554429, 67108861, -134217728, 268435459, -536870915, 1073741824, -2147483645
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| a(n)= A154589(n)+ A099838(n+4).
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FORMULA
| a(n)= -3a(n-1)-3a(n-2)-2a(n-3), n > 3.
G.f.: (4*x+7*x^2+9*x^3+1)/((2*x+1)*(1+x+x^2)). [R. J. Mathar, May 17 2009]
a(n)=[I*sqrt(3)]*{[ -(1/2)-(1/2)*I*sqrt(3)]^n-[ -(1/2)+(1/2)*I*sqrt(3)]^n}+(-2)^n, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 31 2009]
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CROSSREFS
| Sequence in context: A146222 A140672 A135027 * A045557 A089111 A127873
Adjacent sequences: A158913 A158914 A158915 * A158917 A158918 A158919
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KEYWORD
| sign
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Mar 30 2009
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EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2009
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