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A127210 3^n*Lucas(n), with A000204 the Lucas numbers. +0
10
3, 27, 108, 567, 2673, 13122, 63423, 308367, 1495908, 7263027, 35252253, 171124002, 830642283, 4032042867, 19571909148, 95004113247, 461159522073, 2238515585442, 10865982454983, 52744587633927 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = Trace of matrix [({3,3},{3,0})^n] a(n) = 3^n Trace of matrix [({1,1},{1,0})^n]

MATHEMATICA

Table[3^n Tr[MatrixPower[{{1, 1}, {1, 0}}, x]], {x, 1, 20}]

CROSSREFS

Cf. A087131, A127211, A127212, A127213, A127214, A127215, A127216.

Sequence in context: A053360 A120117 A045491 this_sequence A063263 A034200 A080424

Adjacent sequences: A127207 A127208 A127209 this_sequence A127211 A127212 A127213

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Jan 09 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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