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A316080 Sequence shifts left eight places under Weigh transform with a(n) = signum(n) for n<8. 3
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 13, 17, 22, 30, 40, 53, 71, 96, 128, 173, 233, 314, 425, 575, 780, 1060, 1442, 1964, 2680, 3658, 5000, 6840, 9366, 12835, 17604, 24164, 33194, 45632, 62775, 86417, 119038, 164077, 226287, 312261, 431138 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

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 * 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)))(8):

seq(a(n), n=0..53);

CROSSREFS

Column k=8 of A316074.

Cf. A057427, A218025.

Sequence in context: A240735 A057042 A063595 * A130082 A241377 A266750

Adjacent sequences:  A316077 A316078 A316079 * A316081 A316082 A316083

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Jun 23 2018

STATUS

approved

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Last modified April 8 21:44 EDT 2020. Contains 333329 sequences. (Running on oeis4.)