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A053520
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Denominators of successive convergents to continued fraction 1/(2+2/(3+3/(4+4/(5+5/(6+6/(7+7/(8+8/9+...))))))).
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5
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2, 8, 38, 74, 1522, 11986, 11838, 1054766, 11506538, 45706526, 1772006854, 24681524038, 11169012898, 5874202721042, 99515904921182, 66139171377658, 3075946152109262, 51924337160029042, 4714400135799462226
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| M. A. Stern, Theorie der Kettenbr"uche und ihre Anwendung, Crelle, 1832, pp. 1-22.
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EXAMPLE
| Convergents are 1/2, 3/8, 15/38, 29/74, 597/1522, 4701/11986, ...
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MAPLE
| for j from 1 to 50 do printf(`%d, `, denom(cfrac([0, seq([i, i+1], i=1..j)]))); od:
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CROSSREFS
| Cf. A053518, A053519, A053556, A053557.
Sequence in context: A020076 A020130 A159051 * A202744 A112738 A192529
Adjacent sequences: A053517 A053518 A053519 * A053521 A053522 A053523
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KEYWORD
| nonn,frac,nice,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 02 2000
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