login
A177057
Decimal expansion of 7/6.
4
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
1,3
COMMENTS
7/6 is the 14th Bernoulli number. - Jean-François Alcover, Dec 24 2013
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
EXAMPLE
1.16666666666...
MATHEMATICA
RealDigits[7/6, 10, 120][[1]] (* or *) PadRight[{1, 1}, 120, {6}] (* Harvey P. Dale, Nov 20 2023 *)
CROSSREFS
Sequence in context: A010722 A020793 A021019 * A362115 A082510 A343195
KEYWORD
nonn,cons,easy
AUTHOR
Vincenzo Librandi, May 26 2010
EXTENSIONS
Edited by Rick L. Shepherd, Jun 17 2010
STATUS
approved