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A166304 Third trisection of A022998. 5
4, 5, 16, 11, 28, 17, 40, 23, 52, 29, 64, 35, 76, 41, 88, 47, 100, 53, 112, 59, 124, 65, 136, 71, 148, 77, 160, 83, 172, 89, 184, 95, 196, 101, 208, 107, 220, 113, 232, 119, 244, 125, 256, 131, 268, 137, 280, 143, 292, 149, 304, 155, 316, 161, 328, 167, 340, 173, 352, 179 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The sequence read modulo 9 is the periodic sequence 4, 5, 7, 2, 1, 8 (repeat..)

The same set of numbers in a period of length 6 is in A153130,

A165355 read modulo 9, A165367 read modulo 9, and A166138 read modulo 9.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = A022998(3*n+2).

a(n) = 2*a(n-2)-a(n-4).

G.f.: (4+5*x+8*x^2+x^3)/((x-1)^2 *(1+x)^2 ).

a(2*n) = A017569(n). a(2n+1) = A016969(n) .

MATHEMATICA

LinearRecurrence[{0, 2, 0, -1}, {4, 5, 16, 11}, 100] (* G. C. Greubel, May 09 2016 *)

CROSSREFS

Cf. A165988 (first trisection), A166138 (2nd trisection).

Sequence in context: A166590 A244643 A085768 * A078713 A175263 A000695

Adjacent sequences:  A166301 A166302 A166303 * A166305 A166306 A166307

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Oct 11 2009

EXTENSIONS

Edited and extended by R. J. Mathar, Oct 14 2009

STATUS

approved

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Last modified January 18 18:56 EST 2018. Contains 297864 sequences.