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A218025 Shifts 8 places left under Euler transform with a(0)=0 and a(n)=1 for n<8. 3
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 43, 59, 85, 118, 170, 241, 349, 500, 728, 1051, 1534, 2226, 3252, 4735, 6929, 10117, 14829, 21715, 31893, 46828, 68920, 101442, 149589, 220650, 325939, 481659, 712605, 1054747, 1562670, 2316296, 3436200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

N. J. A. Sloane, Transforms

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 08 2019

MAPLE

with(numtheory):

b:= proc(n) option remember; `if`(n=0, 1,

      (add(add(d*a(d), d=divisors(j))*b(n-j), j=1..n))/n)

    end:

a:= n-> `if`(n<8, signum(n), b(n-8)):

seq(a(n), n=0..50);

CROSSREFS

Column k=8 of A144018.

Cf. A316080.

Sequence in context: A024794 A326292 A195308 * A091955 A091584 A091582

Adjacent sequences:  A218022 A218023 A218024 * A218026 A218027 A218028

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Oct 18 2012

STATUS

approved

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Last modified November 14 10:22 EST 2019. Contains 329111 sequences. (Running on oeis4.)