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 A341197 a(n) = Sum_{k=0..n} k^n * (n-k)! * binomial(n,k)^2. 2
 1, 1, 8, 117, 2800, 97125, 4551876, 274975897, 20690260928, 1889451727497, 205192914235300, 26068434774065541, 3822244304373085680, 639508508456359098349, 120922358829574588363364, 25626415609908102483018225 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS MATHEMATICA a[0] = 1; a[n_] := Sum[k^n * (n-k)! * Binomial[n, k]^2, {k, 0, n}]; Array[a, 16, 0] (* Amiram Eldar, Feb 06 2021 *) PROG (PARI) a(n) = sum(k=0, n, k^n*(n-k)!*binomial(n, k)^2); CROSSREFS Main diagonal of A341200. Cf. A277373, A341185. Sequence in context: A056988 A085699 A046914 * A342182 A194494 A230911 Adjacent sequences:  A341194 A341195 A341196 * A341198 A341199 A341200 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 06 2021 STATUS approved

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Last modified December 2 02:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)