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A214826 a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 4. 5
1, 4, 4, 9, 17, 30, 56, 103, 189, 348, 640, 1177, 2165, 3982, 7324, 13471, 24777, 45572, 83820, 154169, 283561, 521550, 959280, 1764391, 3245221, 5968892, 10978504, 20192617, 37140013, 68311134, 125643764, 231094911, 425049809 (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^2-3*x-1)/(x^3+x^2+x-1).

MATHEMATICA

LinearRecurrence[{1, 1, 1}, {1, 4, 4}, 33] (* Ray Chandler, Dec 08 2013 *)

CROSSREFS

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

Sequence in context: A059815 A202670 A203003 * A135065 A067553 A112683

Adjacent sequences:  A214823 A214824 A214825 * A214827 A214828 A214829

KEYWORD

nonn,easy

AUTHOR

Abel Amene, Jul 29 2012

STATUS

approved

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Last modified February 17 23:47 EST 2018. Contains 299297 sequences. (Running on oeis4.)