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

Author

Paolo P. Lava, May 16 2019

Keywords

• base
• nonn
• cons
• easy

Comments

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

Examples

			Equals 0.1945474448030236589478037026913009...
		

Crossrefs

Cf. A001620, A094964, A094965.

Programs

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):