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 A225436 Denominators of convergents to the general continued fraction 1/(1 + 2/(1 + 3/(1 + 4/(1+ ...)))) 4
 1, 3, 3, 9, 12, 39, 123, 87, 771, 1473, 11427, 46779, 19533, 212559, 1890093, 8691981, 1570137, 9863961, 486463449, 2459255649, 6337494039, 16694653089, 7166066763, 51605000913, 2729643372111, 7738039298811, 89176449644619, 104501330075607, 1554311845035993, 361227369257943 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 1 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..843 Eric Weisstein's World of Mathematics, Continued Fraction Constants Eric Weisstein's World of Mathematics, Generalized Continued Fraction FORMULA E.g.f: (1/2)*(2+e^((1/2)*(1+z)^2)*sqrt(2*Pi)*(1+z)*(-erf(1/sqrt(2))+erf((1+z)/sqrt(2)))). limit A225435(n)/A225436(n) as n -> infinity =  sqrt(2/(e*Pi))/erfc(1/sqrt(2))-1 = A111129. EXAMPLE 1, 1/3, 2/3, 4/9, 7/12, 19/39, ... = A225435(n)/A225436(n). MATHEMATICA Denominator[Table[ContinuedFractionK[k, 1, {k, 1, n}], {n, 30}]] CROSSREFS Cf. A225435 (numerators). Cf. A111129 (decimal digits of infinite c.f.). Related to A000932. Sequence in context: A319271 A066314 A083336 * A183811 A303640 A091328 Adjacent sequences:  A225433 A225434 A225435 * A225437 A225438 A225439 KEYWORD nonn,frac AUTHOR Eric W. Weisstein, May 07 2013 STATUS approved

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Last modified August 7 08:08 EDT 2020. Contains 336274 sequences. (Running on oeis4.)