A177057 Decimal expansion of 7/6.

1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset: 1

Author

Vincenzo Librandi, May 26 2010

Keywords

• nonn
• cons
• easy

Comments

7/6 is the 14th Bernoulli number. - Jean-François Alcover, Dec 24 2013

Examples

			1.16666666666...
		

Links

• Michael I. Shamos, A catalog of the real numbers, (2007). See pp. 208-209.
• Index entries for linear recurrences with constant coefficients, signature (1).

Crossrefs

Cf. A177022, A177056.

Programs

Mathematica

RealDigits[7/6,10,120][[1]] (* or *) PadRight[{1,1},120,{6}] (* Harvey P. Dale, Nov 20 2023 *)

Formula

From Elmo R. Oliveira, Aug 03 2024: (Start)

G.f.: x*(1 + x) + 6*x^3/(1 - x).

E.g.f.: 6*exp(x) - 5*(1 + x).

a(n) = 6, n >= 3. (End)

Equals zeta(4)^2/zeta(8) = Sum_{k>=1} 2^omega(k)/k^4 = Product_{p prime} (p^4 + 1)/(p^4 - 1). See Shamos link. - Stefano Spezia, Oct 05 2024

Extensions

Edited by Rick L. Shepherd, Jun 17 2010