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%I #8 May 09 2019 07:00:46
%S 0,1,1,1,1,1,1,1,1,2,2,3,4,5,6,9,12,16,23,31,43,61,85,118,168,236,333,
%T 475,674,958,1369,1956,2796,4013,5758,8270,11905,17148,24720,35693,
%U 51572,74573,107957,156399,226740,329013,477738,694148,1009326,1468526
%N Sequence shifts left six places under Weigh transform with a(n) = signum(n) for n<6.
%H Alois P. Heinz, <a href="/A316078/b316078.txt">Table of n, a(n) for n = 0..2000</a>
%F G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 * Product_{n>=1} (1 + x^n)^a(n). - _Ilya Gutkovskiy_, May 09 2019
%p b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
%p add(binomial(a(i), j)*b(n-i*j, i-1), j=0..n/i)))
%p end:
%p a:= n-> (k-> `if`(n<k, signum(n), b(n-k$2)))(6):
%p seq(a(n), n=0..49);
%Y Column k=6 of A316074.
%Y Cf. A057427, A218023.
%K nonn,eigen
%O 0,10
%A _Alois P. Heinz_, Jun 23 2018
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