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A226737
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a(n) = 11^n + n.
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6
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1, 12, 123, 1334, 14645, 161056, 1771567, 19487178, 214358889, 2357947700, 25937424611, 285311670622, 3138428376733, 34522712143944, 379749833583255, 4177248169415666, 45949729863572177, 505447028499293788, 5559917313492231499, 61159090448414546310
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (-1+x+10*x^2)/((11*x-1)*(x-1)^2).
a(n) = 13*a(n-1)-23*a(n-2)+11*a(n-3).
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MATHEMATICA
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Table[11^n + n, {n, 0, 30}] (* or *) CoefficientList[Series[(- 1 + x + 10 x^2) / ((11 x - 1) (x - 1)^2), {x, 0, 30}], x]
LinearRecurrence[{13, -23, 11}, {1, 12, 123}, 20] (* Harvey P. Dale, Nov 14 2018 *)
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PROG
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(Magma) [11^n+n: n in [0..30]]; /* or */ I:=[1, 12, 123]; [n le 3 select I[n] else 13*Self(n-1)-23*Self(n-2)+11*Self(n-3): n in [1..30]]
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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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