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%I #17 Mar 01 2021 06:08:26
%S 1,-1,1,0,-2,2,2,-6,4,8,-23,12,43,-95,28,223,-420,6,1194,-1860,-597,
%T 6405,-8235,-6221,34441,-35405,-48444,184208,-143567,-337144,976873,
%U -512835,-2207538,5112758,-1290534,-13896631,26279179,1478847,-84969584,131756101
%N Shifts left and changes sign under Weigh transform.
%H Alois P. Heinz, <a href="/A038074/b038074.txt">Table of n, a(n) for n = 1..1000</a>
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%p b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
%p add(binomial(a(i$2), j)*b(n-i*j, i-1), j=0..n/i)))
%p end:
%p a:= n-> `if`(n=1, 1, -b((n-1)$2)):
%p seq(a(n), n=1..60); # _Alois P. Heinz_, May 20 2013
%t b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0,
%t Sum[Binomial[a[i], j]*b[n - i*j, i - 1], {j, 0, n/i}]]];
%t a[n_] := If[n == 1, 1, -b[n - 1, n - 1]];
%t Array[a, 60] (* _Jean-François Alcover_, Mar 01 2021, after _Alois P. Heinz_ *)
%Y Cf. A038073.
%K sign,eigen
%O 1,5
%A _Christian G. Bower_, Jan 04 1999
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