A122222 - OEIS

A122222

Difference between (n!)^n and the next smaller factorial.

2, 96, 291456, 18656179200, 17668969095168000, 67095201210572537856000000, 6721833410207820593461922365440000000, 75658161802407509372174837302453333917696000000000, 365526772920711815200262962616603688918661180831039488000000000000

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OFFSET

2,1

LINKS

Table of n, a(n) for n=2..10.

EXAMPLE

a(3)=96 because the difference between (3!)^3=216 and the next smaller factorial 5!=120 is 96.

MATHEMATICA

s={}; m=1; Do[Until[m!>(n!)^n, m++]; AppendTo[s, (n!)^n-(m-1)!], {n, 2, 10}]; s (* James C. McMahon, Oct 26 2024 *)

CROSSREFS

Cf. A036740, A121348, A122221.

Sequence in context: A264542 A064069 A065128 * A036980 A337653 A168442

Adjacent sequences: A122219 A122220 A122221 * A122223 A122224 A122225

KEYWORD

nonn,changed

AUTHOR

Hugo Pfoertner, Sep 25 2006

EXTENSIONS

a(10) from James C. McMahon, Oct 26 2024

STATUS

approved