

A021028


Decimal expansion of 1/24.


4



0, 4, 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
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OFFSET

0,2


COMMENTS

Divided by 10, this is zeta(7), where zeta is the Riemann zeta function.  Alonso del Arte, Jan 13 2012


REFERENCES

L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 40 (series n. 210).


LINKS

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


FORMULA

Equals 1/(1*4*7) + 1/(4*7*10) + 1/(7*10*13) + 1/(10*13*16) + ... = Sum_{i>=0} 1/((3i+1)*(3i+4)*(3i+7)). [Bruno Berselli, Mar 21 2014]


MATHEMATICA

RealDigits[1/24, 10, 100, 1][[1]] (* Alonso del Arte, Jan 13 2012 *)


CROSSREFS

Cf. A016777 (numbers of the form 3n+1).
Sequence in context: A008565 A205325 A021100 * A193529 A214561 A066575
Adjacent sequences: A021025 A021026 A021027 * A021029 A021030 A021031


KEYWORD

nonn,cons,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



