The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A246051 Triangle read by rows: numerator of h(n-k)*h(k)/h(n) where h(x) = zeta(2*x)*(4^x-2), 0<=k<=n. 4

%I #11 Aug 18 2014 16:56:50

%S 1,1,1,1,5,1,1,49,49,1,1,310,343,310,1,1,4191,341,341,4191,1,1,

%T 1162525,2669667,1374230,2669667,1162525,1,1,1414477,46501,562991,

%U 562991,46501,1414477,1,1,13924700,48092218,1613300,117628797,1613300,48092218,13924700,1

%N Triangle read by rows: numerator of h(n-k)*h(k)/h(n) where h(x) = zeta(2*x)*(4^x-2), 0<=k<=n.

%e Triangle starts:

%e 1

%e 1, 1

%e 1, 5, 1

%e 1, 49, 49, 1

%e 1, 310, 343, 310, 1

%e 1, 4191, 341, 341, 4191, 1

%p h := x -> Zeta(2*x)*(4^x-2);

%p A246051 := (n, k) -> h(n-k)*h(k)/h(n);

%p seq(print(seq(numer(A246051(n, k)), k=0..n)), n=0..8);

%o (Sage)

%o h = lambda n: zeta(2*n)*(4^n-2)

%o A246051 = lambda n, k: h(n-k)*h(k)/h(n)

%o for n in range(8): [A246051(n, k).numerator() for k in (0..n)]

%Y Cf. A246052 (denominators).

%K nonn,frac,tabl

%O 0,5

%A _Peter Luschny_, Aug 11 2014

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 May 26 09:40 EDT 2024. Contains 372824 sequences. (Running on oeis4.)