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A264922 Decimal expansion of constant z = Sum_{n>=1} {2^n/n} * n/2^n, where {x} is the fractional part of x. 4
4, 1, 2, 9, 2, 0, 7, 6, 8, 6, 7, 1, 4, 9, 7, 6, 9, 2, 3, 1, 8, 7, 6, 4, 4, 6, 3, 3, 9, 1, 6, 6, 0, 2, 2, 3, 2, 6, 6, 3, 6, 5, 8, 0, 8, 5, 5, 9, 1, 6, 1, 5, 0, 1, 7, 1, 2, 0, 8, 7, 3, 8, 0, 9, 6, 5, 2, 9, 3, 3, 4, 5, 5, 2, 2, 8, 4, 2, 3, 7, 1, 0, 8, 3, 2, 2, 4, 0, 6, 8, 1, 1, 8, 9, 3, 7, 5, 4, 2, 6, 7, 0, 9, 4, 4, 0, 9, 6, 8, 1, 5, 9, 1, 8, 6, 8, 4, 5, 2, 3, 9, 0, 6, 7, 6, 7, 3, 7, 4, 3, 9, 4, 7, 7, 8, 7, 6, 7, 4, 4, 6, 5, 5, 6, 7, 1, 1, 4, 7, 6, 1, 0, 7, 8, 0, 4, 6, 5, 5, 3, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..161.

FORMULA

z  =  Sum_{n>=1} (2^n mod n) / 2^n  =  Sum_{n>=1} A015910(n) / 2^n.

EXAMPLE

z = 0.41292076867149769231876446339166022326636580855916\

15017120873809652933455228423710832240681189375426\

70944096815918684523906767374394778767446556711476\

10780465532930416417809262367754600548943347721936\

55335089998952017672435611201014919700656911176350\

62372182725523627777491225313970963752168821911399\

67310841379582079241875027376200157722800032983503\

52300500273468914504274753388182612540758874330051\

88409791519634550380640194311077029592977832839103\

92762052659306868595889500273010680885518723259637...

INFINITE SERIES.

z = 0/2 + 0/2^2 + 2/2^3 + 0/2^4 + 2/2^5 + 4/2^6 + 2/2^7 + 0/2^8 + 8/2^9 + 4/2^10 + 2/2^11 + 4/2^12 + 2/2^13 + 4/2^14 + 8/2^15 + 0/2^16 + 2/2^17 + 10/2^18 + 2/2^19 + 16/2^20 + 8/2^21 + 4/2^22 + 2/2^23 + 16/2^24 + 7/2^25 + 4/2^26 + 26/2^27 + 16/2^28 + 2/2^29 + 4/2^30 + 2/2^31 + 0/2^32 + 8/2^33 +...+ A015910(n)/2^n +...

CROSSREFS

Cf. A015910 (2^n mod n), A264918, A264919, A264920, A264921.

Sequence in context: A004160 A128077 A128078 * A233528 A084604 A152253

Adjacent sequences:  A264919 A264920 A264921 * A264923 A264924 A264925

KEYWORD

nonn,cons

AUTHOR

Paul D. Hanna, Dec 03 2015

STATUS

approved

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Last modified April 18 08:37 EDT 2019. Contains 322209 sequences. (Running on oeis4.)