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A163192
a(n) = 20*a(n-1)-93*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
1
1, 10, 107, 1210, 14249, 172450, 2123843, 26439010, 331262801, 4166428090, 52521121307, 662944613770, 8374427993849, 105834710796370, 1337872412499443, 16914820145926450, 213874268556080801
OFFSET
0,2
COMMENTS
Binomial transform of A152266. Tenth binomial transform of powers of 7 interleaved with zeros.
FORMULA
a(n) = ((10+sqrt(7))^n+(10-sqrt(7))^n)/2.
G.f.: (1-10*x)/(1-20*x+93*x^2).
MATHEMATICA
LinearRecurrence[{20, -93}, {1, 10}, 40] (* Harvey P. Dale, Nov 01 2011 *)
PROG
(Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-93*Self(n-2): n in [1..17] ];
CROSSREFS
Cf. A152266, A000420 (powers of 7).
Sequence in context: A078192 A238107 A015589 * A140647 A177060 A322641
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Jul 22 2009
STATUS
approved