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Search: id:A128293
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| A128293 |
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a(n) = numerator of b(n): b(1)=1; b(n+1) = b(n) + [b(1);b(2),...,b(n)], where [...] is a continued fraction of rational terms. |
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+0
2
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| 1, 2, 7, 79, 4235, 45300517, 309689522673815, 299546552508509354530034070267, 17137006759160419556328886129521887629616818247406307478983
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Next term a(10) has roughly 118 digits. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007
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MAPLE
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L2cfrac := proc(L) local a, i; a := op(-1, L) ; for i from 2 to nops(L) do a := op(-i, L)+1/a ; od: RETURN(a) ; end: A128293 := proc() local b, n, bnxt; b := [1] ; for n from 2 to 10 do bnxt := op(-1, b)+L2cfrac(b) ; b := [op(b), bnxt] ; od: [seq( numer(b[i]), i=1..nops(b))] ; end: A128293() ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007
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CROSSREFS
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Cf. A128294.
Sequence in context: A067963 A059406 A042791 this_sequence A071409 A135756 A111822
Adjacent sequences: A128290 A128291 A128292 this_sequence A128294 A128295 A128296
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Feb 25 2007
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 24 2007
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