This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A084941 Octagorials: n-th polygorial for k=8. 19

%I

%S 1,1,8,168,6720,436800,41932800,5577062400,981562982400,

%T 220851671040000,61838467891200000,21086917550899200000,

%U 8603462360766873600000,4138265395528866201600000,2317428621496165072896000000

%N Octagorials: n-th polygorial for k=8.

%F A084941(n) = Polygorial(n, 8) = A000142(n)/A000079(n)*A047657(n) = n!/2^n*product(6*i+2, i=0..n-1) = n!/2^n*6^n*pochhammer(1/3, n) = n!/2*3^n*sqrt(3)*GAMMA(n+1/3)*GAMMA(2/3)/Pi

%p a := n->n!/2^n*product(6*i+2,i=0..n-1); [seq(a(j),j=0..30)];

%Y Cf. A006472, A001044, A000680, A084939, A084940, A084942, A084943, A084944, A085356.

%K easy,nonn

%O 0,3

%A Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .