The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298883 Determinant of n X n matrix whose elements are m(i,j) = prime(i)^j. 2
 1, 2, 6, 180, 50400, 958003200, 131514679296000, 1352181326649753600000, 112703642894318944282214400000, 903025586371469323704949549301760000000, 2012769637740033870687308804001121075357286400000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Traces of these matrices are A087480. LINKS Robert Israel, Table of n, a(n) for n = 0..35 Wikipedia, Vandermonde matrix FORMULA a(n) = Product_{1<=i<=n} prime(i) * Product_{1<=i Determinant(Matrix(n, (i, j)-> ithprime(i)^j)): seq(a(n), n=0..12);  # Alois P. Heinz, Jan 28 2018 # Alternative: f:= proc(n) local P; P:= [seq(ithprime(i), i=1..n)]; convert(P, `*`)*mul(mul(P[j]-P[i], j=i+1..n), i=1..n-1) end proc: map(f, [\$0..20]); # Robert Israel, Jan 29 2018 MATHEMATICA a[n_]:=Table[Prime[i]^j, {i, 1, n}, {j, 1, n}]; Table[Det[a[n]], {n, 1, 10}] PROG (PARI) a(n) = matdet(matrix(n, n, i, j, prime(i)^j)); \\ Michel Marcus, Jan 28 2018 CROSSREFS Cf. A080358, A087480, A298903. Sequence in context: A137532 A072116 A203430 * A252740 A055696 A158096 Adjacent sequences:  A298880 A298881 A298882 * A298884 A298885 A298886 KEYWORD nonn AUTHOR Andres Cicuttin, Jan 28 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 18 10:33 EST 2022. Contains 350454 sequences. (Running on oeis4.)