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Search: id:A155199
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| A155199 |
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a(n)=10*a(n-1)+a(n-2), n>2 ; a(0)=1, a(1)=9, a(2)=90 . |
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+0
1
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| 1, 9, 90, 909, 9180, 92709, 936270, 9455409, 95490360, 964359009, 9739080450, 98355163509, 993290715540, 10031262318909, 101305913904630, 1023090401365209, 10332209927556720, 104345189676932409
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OFFSET
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0,2
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FORMULA
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G.f.: (1-x-x^2)/(1-10*x-x^2).
a(n)=(9/2)*{[5+sqrt(26)]^(n-1)+[5-sqrt(26)]^(n-1)}+(45/52)*sqrt(26)*{[5+sqrt(26)]^(n-1)-[5-sqrt(26)]^(n-1)}+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 26 2009]
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CROSSREFS
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Sequence in context: A057092 A156577 A052268 this_sequence A147841 A036258 A098399
Adjacent sequences: A155196 A155197 A155198 this_sequence A155200 A155201 A155202
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 21 2009
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