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A021016 Decimal expansion of 1/12. 5
0, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Multiplied by -1, this is zeta(-1) or zeta(-13), with zeta being the Riemann zeta function. Divided by 10, this is zeta(-3). - Alonso del Arte, Jan 05 2011

Multiplied by 10, this is 5/6, the resistance in ohm between opposite vertices of a cubical network when each edge has a resistance of 1 ohm. - Michel Marcus, Sep 02 2015

The variance of a continuous uniform distribution U(a,b) is (1/12)(b-a)^2. - Jean-Fran├žois Alcover, May 19 2016

REFERENCES

L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 40 (series n. 209) and p. 44 (series n. 239).

LINKS

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

Martin Gardner, The Five Platonic Solids, Mathematical Puzzles & Diversions.

FORMULA

Equals 1/(1*3*5) + 1/(3*5*7) + 1/(5*7*9) + 1/(7*9*11) + ... = sum(i >= 0, 1/((2i+1)*(2i+3)*(2i+5)) ), see Jolley in References. - Bruno Berselli, Mar 21 2014

Equals 1/(2*3*4) + 1/(3*4*5) + 1/(4*5*6) + 1/(5*6*7) + ... = sum(i > 0, 1/((i+1)*(i+2)*(i+3)) ). See Jolley in References, p. 48 (sum obtained from the series 268, case t = 2). - Bruno Berselli, Mar 29 2014

EXAMPLE

0.083333333333333333333333333333333333333333333333333333333333333333...

MATHEMATICA

RealDigits[1/12, 10, 100, -1][[1]] (* Bruno Berselli, Mar 21 2014 *)

PROG

(PARI) 1/12. \\ Michel Marcus, Mar 11 2018

CROSSREFS

Cf. A005408 (odd numbers).

Sequence in context: A010148 A246822 A168356 * A269296 A200230 A069995

Adjacent sequences:  A021013 A021014 A021015 * A021017 A021018 A021019

KEYWORD

nonn,cons,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 20 10:05 EDT 2019. Contains 326149 sequences. (Running on oeis4.)