Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #22 May 14 2023 18:39:59
%S 1,65,46721,191149697,2986175149697,139317055679149697,
%T 16390300280131775149697,4296598745804900241599149697,
%U 2283384320190476620685217983149697,2283382306976051006261597069217983149697
%N a(n) = Sum_{k=1..n} k!^6.
%H Seiichi Manyama, <a href="/A289946/b289946.txt">Table of n, a(n) for n = 1..104</a>
%H Geoffrey Critzer, <a href="https://esirc.emporia.edu/handle/123456789/3595">Combinatorics of Vector Spaces over Finite Fields</a>, Master's thesis, Emporia State University, 2018. [This thesis cites this sequence entry, but it's just a typo: the intended sequence entry is A289546.]
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FactorialSums.html">Factorial Sums</a>
%t Table[Sum[k!^6, {k, n}], {n, 10}]
%t Accumulate[(Range[10]!)^6] (* _Harvey P. Dale_, May 14 2023 *)
%o (PARI) a(n) = sum(k=1, n, k!^6); \\ _Michel Marcus_, Jul 16 2017
%Y Cf. A007489 (k!), A104344 (k!^2), A289945 (k!^4).
%Y Cf. A289947 (indices giving primes).
%K nonn
%O 1,2
%A _Eric W. Weisstein_, Jul 16 2017