A124657 Factorials that are abundant numbers.

24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000, 51090942171709440000, 1124000727777607680000

Offset

1,1

Comments

This sequence is the sequence of factorials starting from 24. (It can be easily checked that any number divisible by 12 is abundant.)

Links

Table of n, a(n) for n=1..19.

Maple

G(x):=x^4/(1-x): f[0]:=G(x): for n from 1 to 20 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=4..20); # Zerinvary Lajos, Apr 03 2009

Mathematica

Select[Range[22]!, DivisorSigma[1, #]>2#&] (* James C. McMahon, Dec 08 2024 *)

Crossrefs

Cf. A000142 (factorial numbers), A005101 (abundant numbers).

Sequence in context: A235702 A052754 A050213 * A342856 A293050 A052581

Adjacent sequences: A124654 A124655 A124656 * A124658 A124659 A124660

Keyword

nonn

Author

Tanya Khovanova, Dec 27 2006

Extensions

a(18)-a(19) from James C. McMahon, Dec 08 2024

Status

approved