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A221908
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a(n) = 6^n + 6*n.
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2
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1, 12, 48, 234, 1320, 7806, 46692, 279978, 1679664, 10077750, 60466236, 362797122, 2176782408, 13060694094, 78364164180, 470184984666, 2821109907552, 16926659444838, 101559956668524, 609359740010610
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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+4*x-35*x^2)/((1-x)^2*(1-6*x)).
a(n) = 8*a(n-1)-13*a(n-2)+6*a(n-3).
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MATHEMATICA
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Table[(6^n + 6 n), {n, 0, 30}] (* or *) CoefficientList[Series[(1 + 4 x - 35 x^2)/((1 - x)^2 (1 - 6 x)), {x, 0, 30}], x]
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PROG
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(Magma) [6^n+6*n: n in [0..30]]; /* or */ I:=[1, 12, 48]; [n le 3 select I[n] else 8*Self(n-1)-13*Self(n-2)+6*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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