A368769
a(n) = (n!)^3 * Sum_{k=1..n} 1/(k!)^3.
Original entry on oeis.org
0, 1, 9, 244, 15617, 1952126, 421659217, 144629111432, 74050105053185, 53982526583771866, 53982526583771866001, 71850742883000353647332, 124158083701824611102589697, 272775309892908670592389564310, 748495450346141392105516964466641
Offset: 0
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Table[(n!)^3 Sum[1/(k!)^3,{k,n}],{n,0,20}] (* Harvey P. Dale, May 11 2025 *)
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a(n) = n!^3*sum(k=1, n, 1/k!^3);
A368770
a(n) = (n!)^3 * Sum_{k=0..n} k/(k!)^3.
Original entry on oeis.org
0, 1, 10, 273, 17476, 2184505, 471853086, 161845608505, 82864951554568, 60408549683280081, 60408549683280081010, 80403779628445787824321, 138937731197954321360426700, 305246195441905644028857459913, 837595560292589087215184870001286
Offset: 0
A368772
a(n) = (n!)^3 * Sum_{k=0..n} (k/k!)^3.
Original entry on oeis.org
0, 1, 16, 459, 29440, 3680125, 794907216, 272653175431, 139598425821184, 101767252423643865, 101767252423643866000, 135452212975869985647331, 234061424022303335198589696, 514232948577000427431301564309, 1411055210895289172871491492466640
Offset: 0
A368775
a(n) = (n+1) * (n!)^3 * Sum_{k=0..n} 1/((k+1) * (k!)^3).
Original entry on oeis.org
1, 3, 37, 1333, 106641, 15996151, 4031030053, 1580163780777, 910174337727553, 737241213559317931, 810965334915249724101, 1177521666296942599394653, 2204320559307876546066790417, 5215422443322435907994026126623
Offset: 0
Showing 1-4 of 4 results.