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A061377
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a(1) = 1, a(n+1) = numerator of the continued fraction [1;2,4,8,...,2^n].
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1
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1, 3, 13, 107, 1725, 55307, 3541373, 453351051, 116061410429, 59423895490699, 60850185043886205, 124621238393774438539, 510448653311085144141949, 4181595492545647894585284747, 68511261060316548415970449436797
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| a(3) = 13, the numerator of 1 +1/((2+1/4)) = 13/9.
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MAPLE
| with(numtheory); f := n->numer(cfrac([seq (2^i, i=0..n)])); for n from 0 to 25 do printf("%d, ", f(n)) od;
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CROSSREFS
| Denominators are sequence A015473.
Sequence in context: A068168 A098027 A073587 * A183604 A006860 A181083
Adjacent sequences: A061374 A061375 A061376 * A061378 A061379 A061380
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KEYWORD
| nonn,easy,frac
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 02 2001
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org) and Winston C. Yang (winston(AT)cs.wisc.edu), May 15 2001
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