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A033165
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First occurrence of n as a term in the continued fraction for zeta(3).
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2
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1, 12, 25, 2, 64, 27, 17, 140, 10, 119, 21, 239, 175, 78, 181, 46, 200, 4, 83, 619, 753, 412, 177, 197, 414, 138, 146, 561, 233, 29, 2276, 1549, 660, 889, 298, 1040, 2279, 322, 1274, 1882, 345, 2926, 673, 254, 1961, 1542, 1681, 296, 5423, 2423, 2557, 228
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..52.
Eric Weisstein's World of Mathematics, Apery's Constant.
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FORMULA
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5/2*sum(x=1, infinity, (-1)^(x-1)*(x!)^3/x^3/(2*x)!)
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MATHEMATICA
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With[{cfz3=ContinuedFraction[Zeta[3], 6000]}, Flatten[Table[Position[cfz3, n, 1, 1], {n, 60}]]] (* Harvey P. Dale, Nov 11 2012 *)
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PROG
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(PARI) (1500 precision digits) v=contfrac(zeta(3)); a(n)=if(n<0, 0, s=1; while(abs(n-component(v, s))>0, s++); s)
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CROSSREFS
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Cf. A032523.
Sequence in context: A058994 A138321 A198808 * A224676 A136739 A186620
Adjacent sequences: A033162 A033163 A033164 * A033166 A033167 A033168
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Randall L. Rathbun (randallr(AT)abac.com), Feb 03 2002
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STATUS
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approved
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