|
| |
|
|
A316077
|
|
Sequence shifts left five places under Weigh transform with a(n) = signum(n) for n<5.
|
|
3
|
|
|
|
0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 10, 14, 20, 28, 40, 58, 84, 121, 176, 257, 376, 552, 812, 1196, 1767, 2615, 3877, 5757, 8562, 12751, 19018, 28400, 42461, 63554, 95234, 142845, 214473, 322310, 484793, 729797, 1099509, 1657761, 2501299, 3776681
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,9
|
|
|
LINKS
|
Alois P. Heinz, Table of n, a(n) for n = 0..2000
|
|
|
FORMULA
|
G.f.: x + x^2 + x^3 + x^4 + x^5 * 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)))(5):
seq(a(n), n=0..47);
|
|
|
CROSSREFS
|
Column k=5 of A316074.
Cf. A057427, A218022.
Sequence in context: A173674 A018128 A032189 * A186425 A327662 A034395
Adjacent sequences: A316074 A316075 A316076 * A316078 A316079 A316080
|
|
|
KEYWORD
|
nonn,eigen
|
|
|
AUTHOR
|
Alois P. Heinz, Jun 23 2018
|
|
|
STATUS
|
approved
|
| |
|
|
