A372806 Decimal expansion of 90/781.
1, 1, 5, 2, 3, 6, 8, 7, 5, 8, 0, 0, 2, 5, 6, 0, 8, 1, 9, 4, 6, 2, 2, 2, 7, 9, 1, 2, 9, 3, 2, 1, 3, 8, 2, 8, 4, 2, 5, 0, 9, 6, 0, 3, 0, 7, 2, 9, 8, 3, 3, 5, 4, 6, 7, 3, 4, 9, 5, 5, 1, 8, 5, 6, 5, 9, 4, 1, 1, 0, 1, 1, 5, 2, 3, 6, 8, 7, 5, 8, 0, 0, 2, 5, 6, 0, 8, 1, 9, 4
Offset: 0
Examples
0.11523687580025608194622279129321382842509603072983354673...
Links
- J. M. Borwein and P. B. Borwein, Strange Series and High Precision Fraud, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640.
- Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
Programs
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Mathematica
First[RealDigits[90/781, 10, 100]]
Formula
Equals Sum_{j >= 1} f(j)/2^j, where f(j) = Sum_{k >= 0, (k+1)-th digit from the right of 2^j is odd} A007598(k). See Example 5.1 (c) in Borwein and Borwein (1992), pp. 638-639.