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A218023
Shifts 6 places left under Euler transform with a(0)=0 and a(n)=1 for n<6.
3
0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 15, 23, 33, 50, 73, 112, 166, 254, 383, 587, 891, 1371, 2095, 3232, 4970, 7689, 11878, 18435, 28589, 44486, 69225, 107985, 168510, 263473, 412172, 645798, 1012516, 1589480, 2496956, 3926743, 6179504, 9733649, 15342313
OFFSET
0,9
LINKS
N. J. A. Sloane, Transforms
FORMULA
G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 / 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<6, signum(n), b(n-6)):
seq(a(n), n=0..50);
CROSSREFS
Column k=6 of A144018.
Cf. A316078.
Sequence in context: A326466 A326591 A177485 * A165801 A239054 A241725
KEYWORD
nonn,eigen
AUTHOR
Alois P. Heinz, Oct 18 2012
STATUS
approved