cp's OEIS Frontend

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

%I A264920 #7 Dec 15 2015 12:51:24
%S A264920 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,
%T A264920 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,
%U A264920 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
%N A264920 Decimal expansion of constant z = Sum_{n>=1} {(5/2)^n} * (2/5)^n, where {x} is the fractional part of x.
%F A264920 z  =  Sum_{n>=1} (5^n mod 2^n) / 5^n  =  Sum_{n>=1} A029757(n) / 5^n.
%e A264920 z = 0.29036054146982277130809461092439599709283621858704\
%e A264920 97898022777398229606260278451631464907983110109230\
%e A264920 00941545301717536541184545041920209936184148266193\
%e A264920 45560061283623671385240800155746118024134819360960\
%e A264920 04975532010154856783010592635208001206034224504288\
%e A264920 68709199272487962506077008849077084442477839576367\
%e A264920 39796048023434177527610014191473439280227784839521\
%e A264920 53755837195252122355246487888500246551317747557030\
%e A264920 20808674351984895348164983096465432641383339907483\
%e A264920 96807465278185792027753412945335820788419423791331...
%e A264920 INFINITE SERIES.
%e A264920 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 +...
%Y A264920 Cf. A029757 (5^n mod 2^n), A264918, A264919, A264921, A264922.
%K A264920 nonn,cons
%O A264920 1,1
%A A264920 _Paul D. Hanna_, Dec 03 2015