A086213 Tribonacci numbers that start with first three cubes.

1, 8, 27, 36, 71, 134, 241, 446, 821, 1508, 2775, 5104, 9387, 17266, 31757, 58410, 107433, 197600, 363443, 668476, 1229519, 2261438, 4159433, 7650390, 14071261, 25881084, 47602735, 87555080, 161038899, 296196714, 544790693, 1002026306

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Martin Burtscher, Igor Szczyrba, and Rafał Szczyrba, Analytic Representations of the n-anacci Constants and Generalizations Thereof, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5.

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

Formula

a(n) = a(n-1) + a(n-2) + a(n-3).

G.f.: (1+7x+18x^2)/(1-x-x^2-x^3).

Maple

a[0] := 1: a[1] := 8: a[2] := 27: for n from 3 to 40 do a[n] := a[n-1]+a[n-2]+a[n-3] od: seq(a[n], n=0..40);

Mathematica

LinearRecurrence[{1, 1, 1}, {1, 8, 27}, 32] (* Ray Chandler, Dec 08 2013 *)

Crossrefs

Cf. A000213, A086192.

Sequence in context: A352423 A371955 A066215 * A175050 A131548 A063142

Adjacent sequences: A086210 A086211 A086212 * A086214 A086215 A086216

Keyword

nonn,easy

Author

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Aug 28 2003

Extensions

Edited by Emeric Deutsch, Mar 09 2004

Status

approved