A316078 Sequence shifts left six places under Weigh transform with a(n) = signum(n) for n<6.

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, 475, 674, 958, 1369, 1956, 2796, 4013, 5758, 8270, 11905, 17148, 24720, 35693, 51572, 74573, 107957, 156399, 226740, 329013, 477738, 694148, 1009326, 1468526

Offset: 0

Author

Alois P. Heinz, Jun 23 2018

Keywords

• nonn
• eigen

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..2000

Crossrefs

Column k=6 of A316074.

Cf. A057427, A218023.

Programs

Maple

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
      add(binomial(a(i), j)*b(n-i*j, i-1), j=0..n/i)))
    end:
a:= n-> (k-> `if`(n
				

Formula

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