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A060805
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Numerators of special continued fraction for 2*zeta(3).
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2
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2, 1, 2, 1, 4, 2, 6, 4, 9, 6, 12, 9, 16, 12, 20, 16, 25, 20, 30, 25, 36, 30, 42, 36, 49, 42, 56, 49, 64, 56, 72, 64, 81, 72, 90, 81, 100, 90, 110, 100, 121, 110, 132, 121, 144, 132, 156, 144, 169, 156, 182, 169, 196, 182, 210, 196, 225, 210, 240, 225, 256, 240, 272, 256
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Y. V. Nesterenko, Some remarks on zeta(3), Mathematical Notes, 59 (No. 6, 1996), 625-636.
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LINKS
| Y. V. Nesterenko, Zeta(3) and recurrence relations.
Yu. V. Nesterenko, A few remarks on zeta(3), Math. Notes 59 (1996) 625-636. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2010]
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FORMULA
| a(n) = A008733(n-1), n>2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2010]
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MAPLE
| A060805 := proc(n) local nshf, k ; if n <= 2 then op(n, [2, 1]) ; else nshf := n-1 ; k := floor(nshf/4) ; if nshf mod 4 = 1 then k*(k+1) ; elif nshf mod 4 = 0 then (k+1)^2 ; elif nshf mod 4 = 2 then (k+1)*(k+2) ; else (k+1)^2 ; end if; end if; end proc: seq(A060805(n), n=1..80) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2010]
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CROSSREFS
| Cf. A060804-A060808.
Sequence in context: A051493 A029173 A002331 * A184342 A030767 A135545
Adjacent sequences: A060802 A060803 A060804 * A060806 A060807 A060808
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 29 2001
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2010
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