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A163146
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a(n) = 12*a(n-1)-31*a(n-2) for n > 1; a(0) = 1, a(1) = 11.
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2
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1, 11, 101, 871, 7321, 60851, 503261, 4152751, 34231921, 282047771, 2323383701, 19137123511, 157620587401, 1298196219971, 10692116430221, 88061314343551, 725280162785761, 5973461208779051, 49197849458990021, 405196896035729671
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OFFSET
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0,2
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COMMENTS
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Binomial transform of A093145 without initial 0. Inverse binomial transform of A163147.
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LINKS
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FORMULA
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a(n) = ((1+sqrt(5))*(6+sqrt(5))^n+(1-sqrt(5))*(6-sqrt(5))^n)/2.
G.f.: (1-x)/(1-12*x+31*x^2).
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MATHEMATICA
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LinearRecurrence[{12, -31}, {1, 11}, 20] (* Harvey P. Dale, Apr 15 2019 *)
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PROG
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(Magma) [ n le 2 select 10*n-9 else 12*Self(n-1)-31*Self(n-2): n in [1..20] ];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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