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A316076 Sequence shifts left four places under Weigh transform with a(n) = signum(n) for n<4. 3
0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 8, 12, 18, 26, 39, 58, 88, 133, 202, 308, 472, 725, 1116, 1725, 2669, 4141, 6437, 10027, 15643, 24448, 38265, 59979, 94143, 147953, 232799, 366725, 578311, 912913, 1442503, 2281429, 3611406, 5721528, 9071789, 14394837 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

FORMULA

G.f.: x + x^2 + x^3 + x^4 * 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)))(4):

seq(a(n), n=0..45);

CROSSREFS

Column k=4 of A316074.

Cf. A057427, A218021.

Sequence in context: A318403 A017912 A102543 * A068598 A293165 A321969

Adjacent sequences:  A316073 A316074 A316075 * A316077 A316078 A316079

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Jun 23 2018

STATUS

approved

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Last modified May 25 03:50 EDT 2019. Contains 323539 sequences. (Running on oeis4.)