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%I #38 Jan 24 2021 15:02:07
%S 1,33,7809,7970433,24891170433,193516654370433,3252209580756770433,
%T 106565314598088199970433,6292489787293574101716770433,
%U 629244614687684894925781716770433,101340090272908294280184341461716770433,25216602106682627624613336066827221716770433
%N a(n) = Sum_{k=1..n} (k!)^5.
%H Seiichi Manyama, <a href="/A316777/b316777.txt">Table of n, a(n) for n = 1..120</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FactorialSums.html">Factorial Sums</a>
%t Accumulate[(Range[15]!)^5] (* _Harvey P. Dale_, Jan 24 2021 *)
%o (PARI) {a(n) = sum(k=1, n, k!^5)}
%Y 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).
%K nonn
%O 1,2
%A _Seiichi Manyama_, Aug 03 2018