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A214828 a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 6. 11
1, 6, 6, 13, 25, 44, 82, 151, 277, 510, 938, 1725, 3173, 5836, 10734, 19743, 36313, 66790, 122846, 225949, 415585, 764380, 1405914, 2585879, 4756173, 8747966, 16090018, 29594157, 54432141, 100116316, 184142614, 338691071, 622950001 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See comments in A214727.

LINKS

Robert Price, Table of n, a(n) for n = 0..1000

Martin Burtscher, Igor Szczyrba, RafaƂ 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

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

MATHEMATICA

LinearRecurrence[{1, 1, 1}, {1, 6, 6}, 33] (* Ray Chandler, Dec 08 2013 *)

CROSSREFS

Cf. A000213, A000288, A000322, A000383, A060455, A136175, A141036, A141523, A214825-A214831.

Sequence in context: A262849 A115014 A168332 * A229828 A141378 A003871

Adjacent sequences:  A214825 A214826 A214827 * A214829 A214830 A214831

KEYWORD

nonn,easy

AUTHOR

Abel Amene, Jul 30 2012

STATUS

approved

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Last modified February 20 20:12 EST 2018. Contains 299385 sequences. (Running on oeis4.)