id:A165367 - OEIS Search Results

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Trisection a(n) = A026741(3*n+2).

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1, 5, 4, 11, 7, 17, 10, 23, 13, 29, 16, 35, 19, 41, 22, 47, 25, 53, 28, 59, 31, 65, 34, 71, 37, 77, 40, 83, 43, 89, 46, 95, 49, 101, 52, 107, 55, 113, 58, 119, 61, 125, 64, 131, 67, 137, 70, 143, 73, 149, 76, 155, 79, 161, 82, 167, 85, 173, 88, 179, 91, 185, 94, 191, 97, 197 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The other trisections are A165351 and A165355.`
	FORMULA	`a(n)A022998(n) = A045944(n).` `a(n)A026741(n+1) = A000326(n+1).` `a(2n) = A016777(n). a(2n+1) = A016969(n).` `a(n)=2a(n-2)-a(n-4). G.f.: (1+5x+2x^2+x^3)/((1-x)^2(1+x)^2 ). [R. J. Mathar, Nov 22 2009]`
	MAPLE	`A026741 := proc(n) if type(n, 'odd') then n; else n/2 ; fi; end:` `A165367 := proc(n) A026741(3*n+2) ; end: seq(A165367(n), n=0..100) ; # R. J. Mathar, Nov 22 2009`
	CROSSREFS	`Adjacent sequences: A165364 A165365 A165366 this_sequence A165368 A165369 A165370`
	KEYWORD	`nonn,easy,new`
	AUTHOR	`Paul Curtz (bpcrtz(AT)free.fr), Sep 17 2009`
	EXTENSIONS	`All comments rewritten as formulas - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 22 2009`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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