A166304 Third trisection of A022998.

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

Offset: 0

Author

Paul Curtz, Oct 11 2009

Keywords

• nonn
• easy

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
• Index entries for linear recurrences with constant coefficients, signature (0, 2, 0, -1).

Crossrefs

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

Programs

Mathematica

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

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) .

Extensions

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