A316082 Sequence shifts left ten places under Weigh transform with a(n) = signum(n) for n<10.

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 24, 31, 40, 51, 67, 87, 114, 149, 195, 255, 334, 438, 574, 753, 989, 1300, 1711, 2255, 2973, 3927, 5190, 6867, 9092, 12046, 15971, 21188, 28124, 37351, 49631, 65981, 87763, 116794

Offset

0,14

Links

Alois P. Heinz, Table of n, a(n) for n = 0..2500

Formula

G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 * Product_{n>=1} (1 + x^n)^a(n). - Ilya Gutkovskiy, May 09 2019

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<k, signum(n), b(n-k$2)))(10):
seq(a(n), n=0..55);

Crossrefs

Column k=10 of A316074.

Cf. A057427, A218027.

Sequence in context: A351008 A258875 A179241 * A157046 A017979 A140881

Adjacent sequences: A316079 A316080 A316081 * A316083 A316084 A316085

Keyword

nonn,eigen

Author

Alois P. Heinz, Jun 23 2018

Status

approved