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A144820 Shifts left when Dirichlet convolution with a (DC:(b,a)->c) applied 6 times. 2

%I #9 May 21 2015 22:44:32

%S 1,1,7,49,364,2548,18130,126910,890463,6234270,43655178,305586246,

%T 2139225879,14974581153,104822829531,733759913733,5136324781952,

%U 35954273473664,251679952469351,1761759667285457,12332317933624871

%N Shifts left when Dirichlet convolution with a (DC:(b,a)->c) applied 6 times.

%H Alois P. Heinz, <a href="/A144820/b144820.txt">Table of n, a(n) for n = 1..500</a>

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%p with(numtheory): dc:= proc(b,c) proc(n) option remember; add(b(d) *c(n/d), d=`if`(n<0,{},divisors(n))) end end: A:= proc(n, k) local a, b, t; b[1]:= dc(a,a); for t from 2 to k do b[t]:= dc(b[t-1],a) od: a:= n-> `if`(n=1, 1, b[k](n-1)); a(n) end: a:= n-> A(n,6): seq(a(n), n=1..30);

%Y 6th column of A144823.

%K eigen,nonn

%O 1,3

%A _Alois P. Heinz_, Sep 21 2008

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)