A316777 a(n) = Sum_{k=1..n} (k!)^5.

1, 33, 7809, 7970433, 24891170433, 193516654370433, 3252209580756770433, 106565314598088199970433, 6292489787293574101716770433, 629244614687684894925781716770433, 101340090272908294280184341461716770433, 25216602106682627624613336066827221716770433

Offset: 1

Author

Seiichi Manyama, Aug 03 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..120
• Eric Weisstein's World of Mathematics, Factorial Sums

Crossrefs

Sum_{k=1..n} (k!)^m: A007489 (m=1), A104344 (m=2), A138564 (m=3), A289945 (m=4), this sequence (m=5), A289946 (m=6).

Programs

Mathematica

Accumulate[(Range[15]!)^5] (* Harvey P. Dale, Jan 24 2021 *)

PARI

{a(n) = sum(k=1, n, k!^5)}