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A264919 Decimal expansion of constant z = Sum_{n>=1} {(3/2)^n} * (2/3)^n, where {x} is the fractional part of x. 4
7, 5, 5, 9, 4, 0, 2, 0, 4, 4, 8, 0, 1, 0, 6, 0, 6, 6, 4, 7, 1, 4, 4, 1, 0, 6, 8, 0, 4, 0, 6, 0, 0, 4, 7, 8, 1, 6, 8, 7, 0, 3, 9, 5, 1, 6, 3, 9, 6, 8, 7, 2, 3, 0, 4, 5, 3, 2, 6, 2, 7, 1, 5, 6, 6, 3, 3, 0, 5, 8, 9, 1, 2, 5, 6, 2, 8, 8, 1, 0, 4, 8, 6, 5, 0, 6, 4, 6, 5, 1, 7, 4, 9, 7, 6, 2, 9, 6, 9, 8, 3, 3, 1, 6, 9, 8, 4, 9, 3, 5, 8, 9, 1, 4, 0, 5, 4, 5, 1, 1, 7, 4, 5, 1, 7, 7, 7, 0, 3, 2, 1, 4, 1, 6, 6, 9, 2, 3, 2, 9, 1, 7, 3, 7, 0, 2, 6, 7, 0, 5, 9, 1, 4, 9, 2, 9, 4, 3, 2, 4, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..162.

FORMULA

z = Sum_{n>=1} (3^n mod 2^n) / 3^n = Sum_{n>=1} A002380(n) / 3^n.

EXAMPLE

z = 0.75594020448010606647144106804060047816870395163968\

72304532627156633058912562881048650646517497629698\

33169849358914054511745177703214166923291737026705\

91492943241880014319515193043639253737676423992852\

25627848946162966420904437623290023301210538408167\

32840100004038800021575413579911936230620097811725\

74486975449203289931795206458185235457647073997267\

67563061259503400805979249157888064546156321001516\

17847448155223110095055233059421134812069600436905\

60954415853832952945591153477408523323724465192975...

INFINITE SERIES.

z = 1/3 + 1/3^2 + 3/3^3 + 1/3^4 + 19/3^5 + 25/3^6 + 11/3^7 + 161/3^8 + 227/3^9 + 681/3^10 + 1019/3^11 + 3057/3^12 + 5075/3^13 + 15225/3^14 + 29291/3^15+ 55105/3^16 + 34243/3^17 + 233801/3^18 + 439259/3^19 + 269201/3^20 +...+ A002380(n)/3^n +...

CROSSREFS

Cf. A002380 (3^n mod 2^n), A264918, A264920, A264921, A264922.

Sequence in context: A247876 A011474 A171536 * A233822 A199462 A195847

Adjacent sequences: A264916 A264917 A264918 * A264920 A264921 A264922

KEYWORD

nonn,cons

AUTHOR

Paul D. Hanna, Dec 03 2015

STATUS

approved

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Last modified November 29 06:00 EST 2022. Contains 358422 sequences. (Running on oeis4.)