|
Search: id:A055462
|
|
|
| A055462 |
|
Superduperfactorials: product of first n superfactorials. |
|
+0
9
|
|
| 1, 1, 2, 24, 6912, 238878720, 5944066965504000, 745453331864786829312000000, 3769447945987085350501386572267520000000000, 6916686207999802072984424331678589933649915805696000000000000000
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Next term is 46055492324773905212722208920097589966225904305970614833621406622679040000000000000000000000 (92 characters) [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 13 2009]
Contribution from Peter Luschny (peter(AT)luschny.de), Jul 14 2009: (Start)
Starting with offset 1, a(n) is a 'Matryoshka doll' sequence with alpha=1, the mutiplicative counterpart to the additive A000332.
seq(mul(mul(mul(i,i=alpha..k),k=alpha..n),n=alpha..m),m=alpha..10). (End)
|
|
FORMULA
|
a(n) = a(n-1)*A000178(n) = Product[(i!)^(n-i+1)] over 1 <= i <= n = Product[i^((n-i+1)(n-i+2)/2)] over 1 <= i <= n
|
|
EXAMPLE
|
a(4) = 1!2!3!4!*1!2!3!*1!2!*1! = 288*12*2*1 = 6912
|
|
MATHEMATICA
|
s1=1; s2=1; lst={}; Do[f=n!; s1*=f; s2*=s1; AppendTo[lst, s2], {n, 0, 3*3!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 13 2009]
|
|
CROSSREFS
|
Cf. A000142, A000178, A002109.
Sequence in context: A000794 A159907 A088912 this_sequence A088600 A066120 A152687
Adjacent sequences: A055459 A055460 A055461 this_sequence A055463 A055464 A055465
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Jun 26 2000
|
|
EXTENSIONS
|
a(9) from N. J. A. Sloane (njas(AT)research.att.com), Dec 15 2008
|
|
|
Search completed in 0.002 seconds
|
