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!)
A294517 Denominators of the partial sums of the reciprocals of (k+1)*(4*k+3) = A033991(k+1), for k >= 0. 3

%I #5 Nov 12 2017 14:45:57

%S 3,42,154,4620,87780,672980,18170460,1126568520,1126568520,

%T 14645390760,629751802680,29598334725960,503171690341320,

%U 100634338068264,29687129730137880,59374259460275760,3978075383838475920,282443352252531790320,1412216761262658951600,111565124139750057176400,9259905303599254745641200

%N Denominators of the partial sums of the reciprocals of (k+1)*(4*k+3) = A033991(k+1), for k >= 0.

%C The corresponding numerators are given in A294516. See this for a reference, the definition of V(4,3;n), and the limit V(4,3).

%F a(n) = denominator(V(4,3;n)) with V(4,3;n) = Sum_{k=0..n} 1/((k + 1)*(4*k + 3)) = Sum_{k=0..n} 1/A033991(k+1) = Sum_{k=0..n} (4/(4*k + 3) - 1/(k+1)).

%e For the rationals V(4,3;n) and the limit V(4,3) see A294516.

%Y Cf. A294516.

%K nonn,frac,easy

%O 0,1

%A _Wolfdieter Lang_, Nov 07 2017

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 August 3 23:57 EDT 2024. Contains 374905 sequences. (Running on oeis4.)