A308226 A continued fraction transformation of Euler-Mascheroni constant.

1, 9, 4, 5, 4, 7, 4, 4, 4, 8, 0, 3, 0, 2, 3, 6, 5, 8, 9, 4, 7, 8, 0, 3, 7, 0, 2, 6, 9, 1, 3, 0, 0, 9, 7, 9, 2, 4, 8, 1, 6, 8, 1, 4, 0, 2, 6, 0, 6, 1, 3, 4, 1, 6, 6, 6, 8, 2, 3, 5, 4, 4, 1, 7, 6, 9, 0, 9, 7, 2, 5, 8, 5, 0, 7, 0, 4, 4, 5, 5, 4, 2, 1, 0, 0, 4, 1, 7

Offset

0,2

Comments

This number has the continued fraction which is the decimal expansion of Euler-Mascheroni constant.

Links

Table of n, a(n) for n=0..87.

Example

Equals 0.1945474448030236589478037026913009...

Maple

with(numtheory): P:=proc(q) local a, b, n: a:=evalf(gamma, q): b:=[]:
while a>0 do b:=[op(b), trunc(a)]: a:=evalf(10*(a-trunc(a)), q): od:
a:=b[nops(b)]: for n from nops(b)-1 by -1 to 1 do a:=1/a+b[n]:
od: print(evalf(a, q)); end: P(200):

Crossrefs

Cf. A001620, A094964, A094965.

Sequence in context: A062546 A245887 A336603 * A019880 A021518 A030070

Adjacent sequences: A308223 A308224 A308225 * A308227 A308228 A308229

Keyword

base,nonn,cons,easy

Author

Paolo P. Lava, May 16 2019

Status

approved