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Search: id:A163146
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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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+0
3
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| 1, 11, 101, 871, 7321, 60851, 503261, 4152751, 34231921, 282047771, 2323383701, 19137123511, 157620587401, 1298196219971, 10692116430221, 88061314343551, 725280162785761, 5973461208779051, 49197849458990021, 405196896035729671
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A093145 without initial 0. Inverse binomial transform of A163147.
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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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PROGRAM
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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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Cf. A093145, A163147.
Sequence in context: A001603 A045624 A125399 this_sequence A037550 A138894 A122105
Adjacent sequences: A163143 A163144 A163145 this_sequence A163147 A163148 A163149
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 21 2009
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