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A203305 Vandermonde determinant of the first n terms of (1,3,7,15,31,...). 7

%I

%S 1,2,48,64512,20808990720,6658450862270054400,

%T 8590449816558320728896700416000,

%U 180165778137909187135292776823951671626301440000,246665746050863452218796304775365273357060390005370386894553088000000

%N Vandermonde determinant of the first n terms of (1,3,7,15,31,...).

%C Each term divides its successor, as in A028365 and A203307.

%t f[j_] := 2^j - 1; z = 15;

%t v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}]

%t Table[v[n], {n, 1, z}] (* A203305 *)

%t Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A028365 *)

%t %/2 (* A203307 *)

%Y Cf. A028365, A203307, A000225.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 01 2012

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Last modified May 24 22:42 EDT 2013. Contains 225631 sequences.