A199567 a(n) = 7*9^n + 1.

8, 64, 568, 5104, 45928, 413344, 3720088, 33480784, 301327048, 2711943424, 24407490808, 219667417264, 1977006755368, 17793060798304, 160137547184728, 1441237924662544, 12971141321962888, 116740271897665984, 1050662447078993848, 9455962023710944624, 85103658213398501608

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-9).

Formula

a(n) = 8*A187709(n).

a(n) = 9*a(n-1) - 8 for n > 0.

a(n) = 10*a(n-1) - 9*a(n-2) for n > 1.

G.f.: 8*(1-2*x)/((1-x)*(1-9*x)).

a(n) = 4*(A096046(n) + 1). - Martin Ettl, Nov 13 2012

From Elmo R. Oliveira, Aug 23 2024: (Start)

E.g.f.: exp(x)*(7*exp(8*x) + 1).

a(n) = 2*A199566(n). (End)

Prog

(Magma) [7*9^n+1: n in [0..30]];
(Maxima) A199567(n):=7*9^n+1$ makelist(A199567(n), n, 0, 30); /* Martin Ettl, Nov 13 2012 */

Crossrefs

Cf. A096046, A187709, A199566.

Sequence in context: A144317 A344054 A344252 * A213336 A366497 A355214

Adjacent sequences: A199564 A199565 A199566 * A199568 A199569 A199570

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 08 2011

Status

approved