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Search: id:A127211
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A127211 4^n*Lucas(n), with A000204 the Lucas numbers. +0
10
4, 48, 256, 1792, 11264, 73728, 475136, 3080192, 19922944, 128974848, 834666496, 5402263552, 34963718144, 226291089408, 1464583847936, 9478992822272, 61349312856064, 397061136580608, 2569833552019456, 16632312393367552 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = Trace of matrix [({4,4},{4,0})^n] a(n) = 4^n Trace of matrix [({1,1},{1,0})^n]

MATHEMATICA

Table[4^n Tr[MatrixPower[{{1, 1}, {1, 0}}, x]], {x, 1, 20}]

CROSSREFS

Cf. A087131, A127210, A127212, A127213, A127214, A127215, A127216.

Sequence in context: A048608 A162673 A002287 this_sequence A129002 A144704 A091904

Adjacent sequences: A127208 A127209 A127210 this_sequence A127212 A127213 A127214

KEYWORD

nonn

AUTHOR

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

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Last modified December 4 08:07 EST 2009. Contains 170310 sequences.


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