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A233770 Decimal expansion of lim_{n -> infinity} b(n)^2 - 2n - (log n)/2 where b(i) = b(i-1) + 1/b(i-1) for i >= 2, b(1) = 1 (see A073833). 2
2, 7, 6, 8, 5, 7, 6, 2, 4, 8, 6, 2, 5, 7, 6, 5, 3, 8, 9, 3, 6, 4, 3, 7, 2, 5, 0, 8, 2, 3, 5, 7, 3, 3, 9, 6, 3, 1, 7, 9, 7, 9, 7, 3, 7, 5, 2, 7, 5, 1, 3, 7, 3, 9, 1, 5, 9, 7, 7, 3, 1, 6, 4, 3, 5, 4, 8, 5, 0, 1, 4, 1, 8, 0, 8, 2, 9, 7, 1, 2, 4, 3, 1, 1, 8, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

b(n)^2 = t/2 + u + (u-1/2)/t + (-u^2+2*u-11/12)/t^2 + (4*u^3/3-5*u^2+17*u/3-65/36)/t^3 + ... where t=4*n, u=(log n)/2+c, and c=-0.27685762486257653893643725082....

c = (log c1)/2 where c1 is a constant described in the comments in A073833; its digits are in A232975.

LINKS

Table of n, a(n) for n=0..86.

EXAMPLE

-0.27685762486257653893643725082357339631797973752751373915977316435485014180...

CROSSREFS

Cf. A073833, A232975.

Sequence in context: A189959 A158241 A156591 * A138283 A308682 A117968

Adjacent sequences:  A233767 A233768 A233769 * A233771 A233772 A233773

KEYWORD

nonn,cons

AUTHOR

Jon E. Schoenfield and N. J. A. Sloane, Dec 15 2013

STATUS

approved

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Last modified June 26 00:10 EDT 2019. Contains 324367 sequences. (Running on oeis4.)