The On-Line Encyclopedia of Integer Sequences (OEIS)

A214829 revision #20

A214829

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 7.

1, 7, 7, 15, 29, 51, 95, 175, 321, 591, 1087, 1999, 3677, 6763, 12439, 22879, 42081, 77399, 142359, 261839, 481597, 885795, 1629231, 2996623, 5511649, 10137503, 18645775, 34294927, 63078205, 116018907, 213392039, 392489151, 721900097, 1327781287, 2442170535

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OFFSET

0,2

COMMENTS

See comments in A214727.

LINKS

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

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

FORMULA

G.f.: (x^2-6*x-1)/(x^3+x^2+x-1).

PROG

(PARI) Vec((x^2-6*x-1)/(x^3+x^2+x-1) + O(x^40)) \\ Michel Marcus, Jun 04 2017