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Search: id:A084135
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| A084135 |
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a(n)=10a(n-1)-15a(n-2), a(0)=1,a(1)=5. |
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+0
2
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| 1, 5, 35, 275, 2225, 18125, 147875, 1206875, 9850625, 80403125, 656271875, 5356671875, 43722640625, 356876328125, 2912923671875, 23776091796875, 194067062890625, 1584029251953125, 12929286576171875, 105532426982421875
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A084134.
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FORMULA
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a(n)=(5+sqrt(10))^n/2+(5-sqrt(10))^n/2; G.f.: (1-5x)/(1-10x+15x^2); E.g.f. : exp(5x)cosh(sqrt(10)x).
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PROGRAM
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(PARI) a(n)=if(n<0, 0, polsym(x^2-10*x+15, n)[1+n]/2)
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CROSSREFS
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Sequence in context: A155127 A104532 A087630 this_sequence A138233 A002294 A051406
Adjacent sequences: A084132 A084133 A084134 this_sequence A084136 A084137 A084138
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 16 2003
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