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A221911
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a(n) = 9^n + 9*n.
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2
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1, 18, 99, 756, 6597, 59094, 531495, 4783032, 43046793, 387420570, 3486784491, 31381059708, 282429536589, 2541865828446, 22876792455087, 205891132094784, 1853020188851985, 16677181699666722, 150094635296999283
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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+7*x-80*x^2)/((1-x)^2*(1-9*x)).
a(n) = 11*a(n-1) - 19*a(n-2) + 9*a(n-3).
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MATHEMATICA
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Table[(9^n + 9 n), {n, 0, 25}] (* or *) CoefficientList[Series[(1 + 7 x - 80 x^2)/((1 - x)^2 (1 - 9 x)), {x, 0, 30}], x]
LinearRecurrence[{11, -19, 9}, {1, 18, 99}, 20] (* Harvey P. Dale, Aug 18 2014 *)
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PROG
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(Magma) [9^n + 9*n: n in [0..25]]; /* or */ I:=[1, 18, 99]; [n le 3 select I[n] else 11*Self(n-1)-19*Self(n-2)+9*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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