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A307651 a(n) is the determinant of the Vandermonde matrix of the digits of n.

%I A307651 #15 Apr 26 2019 02:31:31
%S A307651 1,1,1,1,1,1,1,1,1,1,-1,0,1,2,3,4,5,6,7,8,-2,-1,0,1,2,3,4,5,6,7,-3,-2,
%T A307651 -1,0,1,2,3,4,5,6,-4,-3,-2,-1,0,1,2,3,4,5,-5,-4,-3,-2,-1,0,1,2,3,4,-6,
%U A307651 -5,-4,-3,-2,-1,0,1,2,3,-7,-6,-5,-4,-3,-2,-1,0
%N A307651 a(n) is the determinant of the Vandermonde matrix of the digits of n.
%H A307651 Rémy Sigrist, <a href="/A307651/b307651.txt">Table of n, a(n) for n = 0..10000</a>
%H A307651 Wikipedia, <a href="https://en.wikipedia.org/wiki/Vandermonde_matrix">Vandermonde matrix</a>
%F A307651 a(n) != 0 iff n belongs to A010784.
%F A307651 a(n) = 0 for any n > 9876543210.
%e A307651              | 2^0 2^1 2^2 |
%e A307651 a(234) = det | 3^0 3^1 3^2 | = 2.
%e A307651              | 4^0 4^1 4^2 |
%o A307651 (PARI) a(n) = my (d=digits(n)); matdet(matrix(#d,#d,r,c,d[r]^(c-1)))
%Y A307651 See A307710 for the factorial base variant.
%Y A307651 Cf. A007376, A010784, A177894, A307586, A307587.
%K A307651 sign,base
%O A307651 0,14
%A A307651 _Rémy Sigrist_, Apr 20 2019