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Search: id:A158927
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| A158927 |
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a(n)= -3a(n-1)-3a(n-2)-2a(n-3), n > 3. |
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+0
1
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| 2, 2, 2, -7, 11, -16, 29, -61, 128, -259, 515, -1024, 2045, -4093, 8192, -16387, 32771, -65536, 131069, -262141, 524288, -1048579, 2097155, -4194304, 8388605, -16777213, 33554432, -67108867, 134217731, -268435456, 536870909, -1073741821, 2147483648
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The inverse binomial transform of A153130, after dropping A153130(0).
The inverse binomial transform of the full A153130 is A158916.
Dropping two initial terms of A153130 yields A158935, dropping three yields essentially a sign-reversed version of A158916, dropping 4 essentially the sequence here.
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FORMULA
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a(n)= -3a(n-1)-3a(n-2)-2a(n-3), initialized a(0)=a(1)=a(2)=2, a(3)=-7.
a(n)= (-1)^(n+1)*A157823(n)-A099838(n+3).
G.f.: (2+8*x+14*x^2+9*x^3)/((2*x+1)*(1+x+x^2)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2009
a(0)=2 ; a(n)=0.5*(-2)^n-3*cos(2*Pi*n/3)+sqrt(3)*sin(2*Pi*n/3) for n>=1 [From Richard Choulet (richardchoulet(AT)yahoo.fr), Apr 23 2009]
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CROSSREFS
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Same recurrence as A131562, A158916, A158926.
Sequence in context: A094246 A023573 A138757 this_sequence A121258 A087421 A132697
Adjacent sequences: A158924 A158925 A158926 this_sequence A158928 A158929 A158930
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Mar 31 2009
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2009
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