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 A203422 Reciprocal of Vandermonde determinant of (1/2,1/3,...,1/(n+1)). 4
 1, -6, -288, 144000, 933120000, -94097687040000, -172670008499896320000, 6607002383077924814192640000, 5946302144770132332773376000000000000, -140210694122490812598274255654748160000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Each term divides its successor, as in A203423. LINKS Table of n, a(n) for n=1..10. FORMULA a(n) = (n+1)^(n-1) * Product_{i=2..n} (-i)^(i-1). - Kevin Ryde, Apr 17 2022 MATHEMATICA f[j_] := 1/(j + 1); z = 16; v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}] 1/Table[v[n], {n, 1, z}] (* A203422 *) Table[v[n]/(2 v[n + 1]), {n, 1, z - 1}] (* A203423 *) PROG (PARI) a(n) = my(f=n+1); prod(i=-n, -2, f*=i); \\ Kevin Ryde, Apr 17 2022 CROSSREFS Cf. A203421, A203423. Sequence in context: A128792 A340540 A027875 * A042119 A196980 A197165 Adjacent sequences: A203419 A203420 A203421 * A203423 A203424 A203425 KEYWORD sign,easy AUTHOR Clark Kimberling, Jan 02 2012 STATUS approved

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Last modified December 7 23:30 EST 2023. Contains 367662 sequences. (Running on oeis4.)