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A154027
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a(1)=0, a(2)=10; a(n+2)=100*a(n+1)-a(n).
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6
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0, 10, 1000, 99990, 9998000, 999700010, 99960003000, 9995000599990, 999400099996000, 99930014999000010, 9992002099800005000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| If a(n)=x and a(n+1)=y then (x^2+y^2)/(xy+1)=100.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (100,-1).
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FORMULA
| a(1)=0, a(2)=10; a(n+2)=100*a(n+1)-a(n)
a(n)=(5/357)*sqrt(51)*{[50+7*sqrt(51)]^(n-1)-[50-7*sqrt(51)]^(n-1)}. [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 15 2009]
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EXAMPLE
| a(3)=100*10=1000, a(4)=100*1000-10=99990.
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CROSSREFS
| Cf. A065100, A154021, A154022, A154023, A154024, A154025, A154026.
Sequence in context: A200993 A062033 A171500 * A013715 A135612 A110147
Adjacent sequences: A154024 A154025 A154026 * A154028 A154029 A154030
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 04 2009
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