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A171510
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a(n) = 10*a(n-1) + a(n-2), with a(1)=2 and a(2)=1.
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1
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2, 1, 12, 121, 1222, 12341, 124632, 1258661, 12711242, 128371081, 1296422052, 13092591601, 132222338062, 1335315972221, 13485382060272, 136189136574941, 1375376747809682, 13889956614671761, 140274942894527292, 1416639385559944681, 14306668798493974102
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OFFSET
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1,1
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LINKS
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FORMULA
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G.f.: x*(19*x-2) / (x^2+10*x-1). - Colin Barker, Oct 02 2015
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MATHEMATICA
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RecurrenceTable[{a[n] == 10 a[n - 1] + a[n - 2], a[1] == 2, a[2] == 1}, a, {n, 1, 21}] (* or *) LinearRecurrence[{10, 1}, {2, 1}, 21] (* Michael De Vlieger, Oct 02 2015 *)
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PROG
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(PARI) Vec(x*(19*x-2)/(x^2+10*x-1) + O(x^40)) \\ Colin Barker, Oct 02 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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