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A316075 Sequence shifts left three places under Weigh transform with a(n) = signum(n) for n<3. 3
0, 1, 1, 1, 1, 1, 2, 2, 3, 5, 7, 10, 17, 26, 40, 65, 104, 166, 272, 442, 720, 1186, 1954, 3222, 5346, 8881, 14778, 24668, 41254, 69088, 115959, 194925, 328123, 553200, 933944, 1578614, 2671656, 4526654, 7677736, 13035809, 22154806, 37687152, 64165838 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

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

FORMULA

G.f.: x + x^2 + x^3 * 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)))(3):

seq(a(n), n=0..42);

CROSSREFS

Column k=3 of A316074.

Cf. A057427, A218020.

Sequence in context: A173696 A120412 A022864 * A322429 A039894 A133225

Adjacent sequences:  A316072 A316073 A316074 * A316076 A316077 A316078

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Jun 23 2018

STATUS

approved

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Last modified April 15 14:19 EDT 2021. Contains 342977 sequences. (Running on oeis4.)