This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127210 3^n*Lucas(n), with A000204 the Lucas numbers. 9
 3, 27, 108, 567, 2673, 13122, 63423, 308367, 1495908, 7263027, 35252253, 171124002, 830642283, 4032042867, 19571909148, 95004113247, 461159522073, 2238515585442, 10865982454983, 52744587633927 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = Trace of matrix [({3,3},{3,0})^n] a(n) = 3^n Trace of matrix [({1,1},{1,0})^n] a(n)= 3*a(n-1)+9*a(n-2). G.f.: 3x(1+6x)/(1-3x-9x^2). a(n) = 3*A099012(n) +18*A099012(n-1). [From R. J. Mathar, Oct 27 2008] 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: A200977 A173491 A195799 * A161807 A063263 A204809 Adjacent sequences:  A127207 A127208 A127209 * A127211 A127212 A127213 KEYWORD nonn AUTHOR Artur Jasinski, Jan 09 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .