A086213 - OEIS

%I #13 Mar 16 2024 14:24:59

%S 1,8,27,36,71,134,241,446,821,1508,2775,5104,9387,17266,31757,58410,

%T 107433,197600,363443,668476,1229519,2261438,4159433,7650390,14071261,

%U 25881084,47602735,87555080,161038899,296196714,544790693,1002026306

%N Tribonacci numbers that start with first three cubes.

%H Martin Burtscher, Igor Szczyrba, and Rafał Szczyrba, <a href="https://www.emis.de/journals/JIS/VOL18/Szczyrba/sz3.html">Analytic Representations of the n-anacci Constants and Generalizations Thereof</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1).

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

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

%p 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);

%t LinearRecurrence[{1,1,1},{1,8,27},32] (* _Ray Chandler_, Dec 08 2013 *)

%Y Cf. A000213, A086192.

%K nonn,easy

%O 0,2

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

%E Edited by _Emeric Deutsch_, Mar 09 2004