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A002794 Numerators of convergents to Lehmer's constant.
(Formerly M3034 N1230)
6
1, 1, 3, 16, 547, 538811, 620245817465, 692770666469127829226736, 1025344764595988314871439243086711931108916434521 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. W. Wrench, Jr., personal communication.

MATHEMATICA

Block[{$MaxExtraPrecision=1000}, Numerator[Convergents[With[{nn=15}, Cot[ Total[Last[#] ArcCot[First[#]]&/@Thread[{NestList[#^2+#+1&, 0, nn], PadRight[{}, nn+1, {1, -1}]}]]]], 10]]] (* From Harvey P. Dale, Jan 29 2012 *)

CROSSREFS

Cf. A002794, A002795, A002665, A030125, A002065.

Sequence in context: A081782 A176299 A081780 * A132559 A080273 A096404

Adjacent sequences:  A002791 A002792 A002793 * A002795 A002796 A002797

KEYWORD

nonn,frac,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 13:48 EST 2012. Contains 205921 sequences.