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A218022 Shifts 5 places left under Euler transform with a(0)=0 and a(n)=1 for n<5. 3
0, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 16, 25, 38, 59, 91, 143, 223, 352, 555, 881, 1399, 2234, 3569, 5726, 9197, 14816, 23901, 38650, 62583, 101535, 164948, 268398, 437268, 713379, 1165156, 1905348, 3119012, 5111199, 8383837, 13765016, 22619804, 37202634 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

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 / 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<5, signum(n), b(n-5)):

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

CROSSREFS

Column k=5 of A144018.

Cf. A316077.

Sequence in context: A271485 A018057 A130137 * A091980 A274113 A005685

Adjacent sequences:  A218019 A218020 A218021 * A218023 A218024 A218025

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Oct 18 2012

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)