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 A203315 Vandermonde determinant of the first n odd primes. 6
 1, 2, 16, 3072, 2949120, 118908518400, 30684105356083200, 509012486930992988160000, 1448974328493266972309245132800000, 24498250851046882007528282887645298688000000, 120709538882209643641596013856771385957962848665600000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Each term divides its successor, as in A203316, and each term is divisible by the corresponding superfactorial, A000178(n), as in A203317. LINKS Robert Israel, Table of n, a(n) for n = 1..35 EXAMPLE v(3)=(5-3)(7-3)(7-5)=16. MAPLE Primes:=3: A[1]:= 1: for n from 2 to 20 do Primes:= Primes, ithprime(n+1); A[n]:= A[n-1] * mul(Primes[n]-Primes[i], i=1..n-1); od: seq(A[i], i=1..20); # Robert Israel, Apr 08 2019 MATHEMATICA f[j_] := Prime[j + 1]; z = 17; v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}] d[n_] := Product[(i - 1)!, {i, 1, n}] Table[v[n], {n, 1, z}] (* A203315 *) Table[v[n + 1]/(2 v[n]), {n, 1, z - 1}] (* A203316 *) Table[v[n]/d[n], {n, 1, 20}] (* A203317 *) CROSSREFS Cf. A203316, A203317, A000040. Sequence in context: A132569 A165644 A338005 * A158506 A167435 A270124 Adjacent sequences: A203312 A203313 A203314 * A203316 A203317 A203318 KEYWORD nonn AUTHOR Clark Kimberling, Jan 01 2012 STATUS approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)