A133679 a(n) = 7*a(n-1) + 56*a(n-2) for n>=3, a(0)=1, a(1)=7, a(2)=98.

1, 7, 98, 1078, 13034, 151606, 1791146, 21027958, 247499882, 2910064822, 34230447146, 402576760054, 4734942360554, 55688895086902, 654979037799338, 7703431389461878, 90602845842996074, 1065612078710837686, 12533043918183643946

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..934

Index entries for linear recurrences with constant coefficients, signature (7,58)

Formula

G.f.: (1 - 7*x^2)/(1 - 7*x - 56*x^2).

a(n) = Sum_{k=0..n} A122950(n,k)*7^k.

Mathematica

CoefficientList[Series[(1 - 7*x^2)/(1 - 7*x - 56*x^2), {x, 0, 20}], x] (* Wesley Ivan Hurt, Jan 21 2017 *)
LinearRecurrence[{7, 56}, {1, 7, 98}, 20] (* Harvey P. Dale, Dec 27 2019 *)

Crossrefs

Cf. A112950.

Sequence in context: A288681 A124092 A036293 * A219406 A267664 A237022

Adjacent sequences: A133676 A133677 A133678 * A133680 A133681 A133682

Keyword

easy,nonn

Author

Philippe Deléham, Dec 31 2007

Extensions

a(8) and a(13) corrected by Georg Fischer, May 03 2019

Status

approved