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A218024 Shifts 7 places left under Euler transform with a(0)=0 and a(n)=1 for n<7. 3
0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 15, 22, 31, 45, 64, 94, 136, 200, 294, 435, 643, 956, 1420, 2117, 3157, 4721, 7064, 10597, 15909, 23933, 36038, 54356, 82059, 124056, 187707, 284351, 431114, 654288, 993780, 1510785, 2298471, 3499653, 5332313, 8130576 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

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 / 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<7, signum(n), b(n-7)):

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

CROSSREFS

Column k=7 of A144018.

Cf. A316079.

Sequence in context: A101977 A024793 A116601 * A236102 A241726 A321142

Adjacent sequences:  A218021 A218022 A218023 * A218025 A218026 A218027

KEYWORD

nonn,eigen

AUTHOR

Alois P. Heinz, Oct 18 2012

STATUS

approved

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Last modified May 23 19:07 EDT 2019. Contains 323528 sequences. (Running on oeis4.)