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A122099
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a(0)=1, a(1)=1, a(2)=0, a(n)=-3*a(n-1)+a(n-3) for n>2.
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3
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1, 1, 0, 1, -2, 6, -17, 49, -141, 406, -1169, 3366, -9692, 27907, -80355, 231373, -666212, 1918281, -5523470, 15904198, -45794313, 131859469, -379674209, 1093228314, -3147825473, 9063802210, -26098178316, 75146709475, -216376326215, 623030800329, -1793945691512, 5165460748321
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (-3,0,1).
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FORMULA
| G.f.: (1+4*x+3*x^2)/(1+3*x-x^3).
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MATHEMATICA
| Transpose[NestList[{#[[2]], Last[#], First[#]-3Last[#]}&, {1, 1, 0}, 35]][[1]] (* From Harvey P. Dale, Mar 13 2011 *)
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PROG
| (PARI) Vec((1+4*x+3*x^2)/(1+3*x-x^3)+O(x^99)) \\ Charles R Greathouse IV, Jan 17 2012
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CROSSREFS
| Sequence in context: A036365 A052536 A122100 * A026165 A148445 A148446
Adjacent sequences: A122096 A122097 A122098 * A122100 A122101 A122102
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KEYWORD
| sign,easy,less
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 18 2006
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