A198770 11*5^n-1.

10, 54, 274, 1374, 6874, 34374, 171874, 859374, 4296874, 21484374, 107421874, 537109374, 2685546874, 13427734374, 67138671874, 335693359374, 1678466796874, 8392333984374, 41961669921874, 209808349609374, 1049041748046874

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (6,-5).

Formula

a(n) = 5*a(n-1)+4.

a(n)= = 6*a(n-1)-5*a(n-2), n>1.

G.f.: 2*(5 - 3*x)/(1 - 6*x + 5*x^2). - Vincenzo Librandi, Jan 04 2013

Mathematica

CoefficientList[Series[2*(5 - 3*x)/(1 - 6*x + 5*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
11*5^Range[0, 20]-1 (* or *) LinearRecurrence[{6, -5}, {10, 54}, 30] (* Harvey P. Dale, May 14 2019 *)

Prog

(Magma) [11*5^n-1: n in [0..30]];

Crossrefs

Cf. A024049, A057651, A081655.

Sequence in context: A170940 A057586 A213120 * A222539 A219623 A284757

Adjacent sequences: A198767 A198768 A198769 * A198771 A198772 A198773

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 30 2011

Status

approved