login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A372390 Decimal expansion of Sum_{k>=0} 1/(floor(k*tau))!, where tau = golden ratio. 1

%I #6 May 27 2024 22:49:49

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

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

%U 3,0,8,0,4,0,7,0,2,4,2,0,3,6,5,9,9,9

%N Decimal expansion of Sum_{k>=0} 1/(floor(k*tau))!, where tau = golden ratio.

%F (this sum) + (sum in A372391) = e + 1.

%e 2.2097498066927516524108109397281466523225995050453525...

%t s = Sum[1/(Floor[k*GoldenRatio])!, {k, 0, 50}];

%t d = N[s, 100]

%t First[RealDigits[d]]

%Y Cf. A001622 (golden ratio), A372391.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, May 18 2024

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 11 23:39 EDT 2024. Contains 374237 sequences. (Running on oeis4.)