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Search: id:A097115
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| A097115 |
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Expansion of (1+11x-90x^2-1100x^3)/(1-201x^2+10100x^4). |
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+0
1
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| 1, 11, 111, 1111, 12211, 112211, 1333311, 11333311, 144664411, 1144664411, 15611105511, 115611105511, 1676721656611, 11676721656611, 179348887317711, 1179348887317711, 19114237619088811, 119114237619088811
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OFFSET
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0,2
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FORMULA
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G.f. : 11(1+x)/(1-101x^2)-10/(1-100x^2); a(n)=201a(n-2)-10100a(n-2); a(n)=(11/2+11sqrt(101)/202)sqrt(101)^n+(11/2-11sqrt(101)/202)(-sqrt(101))^n-10^(n+1)(1+(-1)^n)/2; a(n)=sum{k=0..n, binomial(floor(n/2), floor(k/2))10^k }.
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CROSSREFS
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Sequence in context: A002275 A078998 A078191 this_sequence A134732 A166747 A015456
Adjacent sequences: A097112 A097113 A097114 this_sequence A097116 A097117 A097118
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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), Jul 25 2004
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