A021046 Decimal expansion of 1/42.

0, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3, 8, 0, 9, 5, 2, 3

Offset

0,2

Comments

1/42 is the 6th Bernoulli number. - Jean-François Alcover, Dec 26 2013

References

Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See p. 234.

Links

Table of n, a(n) for n=0..98.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

Formula

Equals Sum_{k>0} 1/((2*k - 1)*(2*k + 3)*(2*k + 7)) - 1/140. - Stefano Spezia, Jan 30 2026

Example

0.0238095238095...

Mathematica

Join[{0}, RealDigits[1/42, 10, 120][[1]]] (* Harvey P. Dale, Oct 05 2011 *)

Crossrefs

Sequence in context: A357064 A131959 A202688 * A138180 A345093 A079585

Adjacent sequences: A021043 A021044 A021045 * A021047 A021048 A021049

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved