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Search: id:A128295
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| A128295 |
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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, 1, 2, 10, 560, 18393200, 11307340057302083200, 79095479027242971758816977525848827652668769392000
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(9) and a(10) have 131 and 343 digits, respectively, and are too large to include here. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 08 2007
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EXAMPLE
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a(5) = the numerator of b(5). b(5) = (10/3) * (1 +1/(1 +1/(2 +3/10))) = 560/99.
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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: A128295 := 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: A128295() ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 08 2007
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CROSSREFS
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Cf. A128296.
Sequence in context: A011824 A064300 A087754 this_sequence A089500 A028582 A137890
Adjacent sequences: A128292 A128293 A128294 this_sequence A128296 A128297 A128298
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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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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 08 2007
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