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A368775
a(n) = (n+1) * (n!)^3 * Sum_{k=0..n} 1/((k+1) * (k!)^3).
3
1, 3, 37, 1333, 106641, 15996151, 4031030053, 1580163780777, 910174337727553, 737241213559317931, 810965334915249724101, 1177521666296942599394653, 2204320559307876546066790417, 5215422443322435907994026126623
OFFSET
0,2
FORMULA
a(n) = (n+1) * n^2 * a(n-1) + 1.
PROG
(PARI) a(n) = (n+1)*n!^3*sum(k=0, n, 1/((k+1)*k!^3));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jan 05 2024
STATUS
approved