A006281 Partial quotients in continued fraction expansion of 2C-1, where C is Cahen's constant.

0, 3, 2, 18, 98, 33282, 319994402, 354455304050635218, 36294953231792713902640647988908098

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Amiram Eldar, Table of n, a(n) for n = 0..12
• J. L. Davison and Jeffrey O. Shallit, Continued Fractions for Some Alternating Series, Monatshefte für Mathematik, Vol. 111 (1991), pp. 119-126; alternative link.

Crossrefs

Cf. A006279, A006280, A118227.

Programs

Mathematica

s[0] = 2; s[n_] := s[n] = s[n - 1]^2 - s[n-1] + 1; h[0] = 1; h[n_] := h[n] = (s[n] - 1)/(2*h[n-1]); a[0] = 0; a[1] = 3; a[n_] := 2*h[n-1]^2; Array[a, 9, 0] (* Amiram Eldar, Mar 19 2024 *)