cp's OEIS Frontend

A067551 Determinant of an n X n matrix whose diagonal are the first n Primes of alternating sign and all other elements are 1's.

%I A067551 #2 Mar 30 2012 17:30:41
%S A067551 2,-7,-32,240,2528,-34112,-563712,10987520,247459840,-7297638400,
%T A067551 -222713856000,8349585408000,338297978880000,-14712528568320000,
%U A067551 -684369944248320000,36606670004551680000,2142049437446307840000,-131713035645097082880000
%N A067551 Determinant of an n X n matrix whose diagonal are the first n Primes of alternating sign and all other elements are 1's.
%e A067551 The determinant begins:
%e A067551 2 1 1 1 1 1 1 ...
%e A067551 1 -3 1 1 1 1 1 ...
%e A067551 1 1 5 1 1 1 1 ...
%e A067551 1 1 1 -7 1 1 1 ...
%e A067551 1 1 1 1 11 1 1 ...
%e A067551 1 1 1 1 1 -13 1 ...
%t A067551 Table[ Det[ DiagonalMatrix[ Table[ Prime[ i ]*(-1)^(i + 1) - 1, {i, 1, n} ] ] + 1 ], {n, 1, 20} ]
%K A067551 sign
%O A067551 1,1
%A A067551 _Robert G. Wilson v_, Jan 28 2002