A350986 a(0)=3, a(1)=105, a(2)=3567; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

3, 105, 3567, 121173, 4116315, 139833537, 4750223943, 161367780525, 5481754313907, 186218278892313, 6325939728024735, 214895732473948677, 7300128964386230283, 247989489056657880945, 8424342498961981721847, 286179655475650720661853, 9721683943673162520781155, 330251074429411874985897417

Offset

0,1

References

P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (34,-1)

Formula

From Chai Wah Wu, Mar 08 2022: (Start)

a(n) = 34*a(n-1) - a(n-2) for n > 1.

G.f.: 3*(x + 1)/(x^2 - 34*x + 1). (End)

Mathematica

LinearRecurrence[{34, -1}, {3, 105}, 20] (* Harvey P. Dale, Mar 24 2023 *)

Crossrefs

Cf. A001541, A001542, A350984, A002315, A001653, A350985.

Equals 3*A046176(n+1).

Sequence in context: A103037 A228309 A215945 * A075528 A359988 A352408

Adjacent sequences: A350983 A350984 A350985 * A350987 A350988 A350989

Keyword

nonn

Author

N. J. A. Sloane, Mar 08 2022

Status

approved