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A166149
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a(n)= (5^n+10*(-6)^n)/11.
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5
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1, -5, 35, -185, 1235, -6785, 43835, -247385, 1562435, -8983985, 55857035, -325376585, 2001087635, -11762385185, 71795014235, -424666569785, 2578516996835, -15318514090385, 92674023995435, -552229446706985
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Contribution from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 14 2009: (Start)
Fourth binomial transform of A014992.
Sixth binomial transform is A001020 preceded by 1.
lim_{n -> infinity} a(n)/a(n-1) = -6. (End)
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| a(0)= 1, a(1)= -5, a(n)= 30*a(n-2)-a(n-1). G.f.: (1-4x)/(1+x-30*x^2). a(n)= Sum_{k, 0<=k<=n} A112555(n,k)*(-6)^k.
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MATHEMATICA
| CoefficientList[Series[(1-4x)/(1+x-30x^2), {x, 0, 40}], x] (* From Harvey P. Dale, Mar 11 2011 *)
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PROG
| (MAGMA) [(5^n+10*(-6)^n)/11: n in [0..30]]; // Vincenzo Librandi, May 02 2011
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CROSSREFS
| Cf. A166035, A166036
Cf. A014992 (q-integers for q=-10), A001020 (powers of 11). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 14 2009]
Sequence in context: A100739 A043014 A165755 * A002737 A123008 A038143
Adjacent sequences: A166146 A166147 A166148 * A166150 A166151 A166152
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KEYWORD
| easy,sign
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 08 2009
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