PROG
(MAGMAMagma) [Denominator((4*n+1)*((n+1)*Catalan(n)/4^n)^5): n in [0..30]]; // G. C. Greubel, Jul 09 2021
The OEIS is supported by the many generous donors to the OEIS Foundation.
Revision History for A074800
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
a(n) = denominator( (4*n+1)*(Product_{i=1..n} (2*i-1)/Product_{i=1..n} (2*i))^5 ).
(history; published version)
(history; published version)
STATUS
reviewed
approved
STATUS
proposed
reviewed
STATUS
editing
proposed
NAME
a(1)=1; for n>1, a(n) is the = denominator of b(n) = (4*n+1)*(Product_{i=1..n} (2*i-1) / Product_{i=1..n} (2*i))^5 ).
FORMULA
a(n) = denominator( (4*n+1)*( binomial(2*n, n)/4^n )^5 ). - G. C. Greubel, Jul 09 2021
MATHEMATICA
Table[Denominator[(4 n 4n+ 1) (Product[(2 i 2i- 1), {i, n}]/Product[2 i, 2i, {i, n}])^5], {n, 0, 10}] (* Michael De Vlieger, Nov 15 2016 *)
PROG
(MAGMA) [Denominator((4*n+1)*((n+1)*Catalan(n)/4^n)^5): n in [0..30]]; // G. C. Greubel, Jul 09 2021
(Sage) [denominator((4*n+1)*(binomial(2*n, n)/4^n)^5) for n in (0..30)] # G. C. Greubel, Jul 09 2021
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
LINKS
Seiichi Manyama, <a href="/A074800/b074800.txt">Table of n, a(n) for n = 0..335</a>
STATUS
approved
editing
STATUS
editing
approved