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A127216 2^n*tetranacci(n) or (2^n)*A001648(n). +0
10
2, 12, 56, 240, 832, 3264, 12672, 48896, 187904, 724992, 2795520, 10776576, 41541632, 160153600, 617414656, 2380201984, 9175957504, 35374497792, 136373075968, 525735034880 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = Trace of matrix [({{2,2,2,2},{2,0,0,0},{0,2,0,0),{0,0,2,0}})^n] a(n) = 2^n Trace of matrix [({{1,1,1,1},{1,0,0,0},{0,1,0,0},{0,0,1,0})^n]

MATHEMATICA

Table[Tr[MatrixPower[2*{{1, 1, 1, 1}, {1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}}, x]], {x, 1, 20}]

CROSSREFS

Cf. A087131, A127210, A127211, A127212, A127213, A127214, A127216, A001648.

Sequence in context: A127214 A124723 A122229 this_sequence A006659 A127221 A020522

Adjacent sequences: A127213 A127214 A127215 this_sequence A127217 A127218 A127219

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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