A264920 Decimal expansion of constant z = Sum_{n>=1} {(5/2)^n} * (2/5)^n, where {x} is the fractional part of x.

2, 9, 0, 3, 6, 0, 5, 4, 1, 4, 6, 9, 8, 2, 2, 7, 7, 1, 3, 0, 8, 0, 9, 4, 6, 1, 0, 9, 2, 4, 3, 9, 5, 9, 9, 7, 0, 9, 2, 8, 3, 6, 2, 1, 8, 5, 8, 7, 0, 4, 9, 7, 8, 9, 8, 0, 2, 2, 7, 7, 7, 3, 9, 8, 2, 2, 9, 6, 0, 6, 2, 6, 0, 2, 7, 8, 4, 5, 1, 6, 3, 1, 4, 6, 4, 9, 0, 7, 9, 8, 3, 1, 1, 0, 1, 0, 9, 2, 3, 0, 0, 0, 9, 4, 1, 5, 4, 5, 3, 0, 1, 7, 1, 7, 5, 3, 6, 5, 4, 1, 1, 8, 4, 5, 4, 5, 0, 4, 1, 9, 2, 0, 2, 0, 9, 9, 3, 6, 1, 8, 4, 1, 4, 8, 2, 6, 6, 1, 9, 3, 4, 5, 5, 6, 0, 0, 6, 1, 2, 8, 3, 6

Offset

1,1

Links

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

Formula

z = Sum_{n>=1} (5^n mod 2^n) / 5^n = Sum_{n>=1} A029757(n) / 5^n.

Example

z = 0.29036054146982277130809461092439599709283621858704\
97898022777398229606260278451631464907983110109230\
00941545301717536541184545041920209936184148266193\
45560061283623671385240800155746118024134819360960\
04975532010154856783010592635208001206034224504288\
68709199272487962506077008849077084442477839576367\
39796048023434177527610014191473439280227784839521\
53755837195252122355246487888500246551317747557030\
20808674351984895348164983096465432641383339907483\
96807465278185792027753412945335820788419423791331...
INFINITE SERIES.
z = 1/5 + 1/5^2 + 5/5^3 + 1/5^4 + 21/5^5 + 9/5^6 + 45/5^7 + 225/5^8 + 357/5^9 + 761/5^10 + 1757/5^11 + 2641/5^12 + 5013/5^13 + 489/5^14 + 18829/5^15 + 28609/5^16 + 11973/5^17 + 59865/5^18 + 37181/5^19 + 185905/5^20 +...+ A029757(n)/5^n +...

Crossrefs

Cf. A029757 (5^n mod 2^n), A264918, A264919, A264921, A264922.

Sequence in context: A011063 A021779 A201893 * A324833 A019969 A185362

Adjacent sequences: A264917 A264918 A264919 * A264921 A264922 A264923

Keyword

nonn,cons

Author

Paul D. Hanna, Dec 03 2015

Status

approved