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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
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.
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: A368739 A244643 A085768 * A078713 A175263 A000695
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, Oct 11 2009
EXTENSIONS
Edited and extended by R. J. Mathar, Oct 14 2009
STATUS
approved