A113437 Second row of A113435.

1, 3, 11, 41, 154, 581, 2197, 8317, 31501, 119338, 452141, 1713111, 6490879, 24593701, 93184802, 353074657, 1337790401, 5068852073, 19205744921, 72770053106, 275723780329, 1044710007771, 3958378188707, 14998188734897

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-15,11,-1).

Formula

a(n) = A113435(3*n+1).

a(n) = 7*a(n-1) - 15*a(n-2) + 11*a(n-3) - a(n-4).

G.f.: (1-4*x+5*x^2-2*x^3)/(1-7*x+15*x^2-11*x^3+x^4).

Mathematica

CoefficientList[Series[(1 - 4*x + 5*x^2 - 2*x^3)/(1 - 7*x + 15*x^2 - 11*x^3 + x^4), {x, 0, 50}], x] (* G. C. Greubel, Mar 11 2017 *)
LinearRecurrence[{7, -15, 11, -1}, {1, 3, 11, 41}, 30] (* Harvey P. Dale, May 09 2018 *)

Prog

(PARI) x='x+O('x^50); Vec((1-4*x+5*x^2-2*x^3)/(1-7*x+15*x^2-11*x^3+x^4)) \\ G. C. Greubel, Mar 11 2017

Crossrefs

Cf. A113435.

Sequence in context: A001835 A079935 A281593 * A076540 A196472 A258471

Adjacent sequences: A113434 A113435 A113436 * A113438 A113439 A113440

Keyword

nonn

Author

Floor van Lamoen, Nov 04 2005

Status

approved