A290156 Tribonacci-like sequence of composite numbers with a(0) = 99202581681909167232, a(1) = 67600144946390082339 and a(2) = 139344212815127987596.

99202581681909167232, 67600144946390082339, 139344212815127987596, 306146939443427237167, 513091297204945307102, 958582449463500531865, 1777820686111873076134, 3249494432780318915101, 5985897568355692523100, 11013212687247884514335

Offset

0,1

Links

Seiichi Manyama, Table of n, a(n) for n = 0..3704

Ivan Lunev, A Tribonacci-Like Sequence of Composite Numbers, Journal of Integer Sequences, Vol. 20 (2017), Article 17.3.2.

Jonas Šiurys, A Tribonacci-Like Sequence of Composite Numbers, The Fibonacci Quarterly, Vol. 49, No. 4 (2011), pp. 298-302.

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

Formula

From Colin Barker, Jul 22 2017: (Start)

G.f.: (99202581681909167232 - 31602436735519084893*x - 27458513813171261975*x^2) / (1 - x - x^2 - x^3).

a(n) = a(n-1) + a(n-2) + a(n-3) for n > 2. (End)

Mathematica

LinearRecurrence[{1, 1, 1}, {99202581681909167232, 67600144946390082339, 139344212815127987596}, 10] (* Amiram Eldar, Jan 13 2026 *)

Prog

(PARI) Vec((99202581681909167232 - 31602436735519084893*x - 27458513813171261975*x^2) / (1 - x - x^2 - x^3) + O(x^20)) \\ Colin Barker, Jul 22 2017

Crossrefs

Cf. A000073, A290157.

Sequence in context: A321136 A135955 A104840 * A095436 A247262 A046061

Adjacent sequences: A290153 A290154 A290155 * A290157 A290158 A290159

Keyword

nonn,easy

Author

Seiichi Manyama, Jul 22 2017

Status

approved