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 A203466 a(n) = A203306(n)/A000178(n) where A000178 are superfactorials. 1
 1, 1, 10, 15180, 97199847360, 124679879327832253286400, 2359315315713931476611812172370616909824000, 69427548091550819116702789435220590352184299509517898727953530880000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS G. C. Greubel, Table of n, a(n) for n = 1..16 R. Chapman, A polynomial taking integer values, Mathematics Magazine, 29 (1996), 121. MATHEMATICA f[j_]:= j!; z = 10; v[n_]:= Product[Product[f[k] - f[j], {j, k-1}], {k, 2, n}] d[n_]:= Product[(i-1)!, {i, n}] Table[v[n], {n, z}] (* A203306 *) Table[v[n]/d[n], {n, z}] (* A203466 *) PROG (Magma) F:= Factorial; [1] cat [(&*[(&*[F(k+1) - F(j): j in [1..k]])/Factorial(k): k in [1..n-1]]): n in [2..20]]; // G. C. Greubel, Sep 19 2023 (SageMath) f=factorial; [product(product(f(k+1) - f(j) for j in range(1, k+1))//factorial(k) for k in range(1, n)) for n in range(1, 21)] # G. C. Greubel, Sep 19 2023 CROSSREFS Cf. A203306. Sequence in context: A190946 A052498 A179425 * A203695 A181017 A360213 Adjacent sequences: A203463 A203464 A203465 * A203467 A203468 A203469 KEYWORD nonn AUTHOR Clark Kimberling, Jan 02 2012 EXTENSIONS Name edited by Michel Marcus, May 17 2019 STATUS approved

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Last modified July 22 14:07 EDT 2024. Contains 374499 sequences. (Running on oeis4.)