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

Author

Paul D. Hanna, Dec 03 2015

Keywords

• nonn
• cons

Examples

			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.

Formula

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