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A144322 Shifts left when Dirichlet convolution (DC:(b,b)->a) applied 8 times. 1

%I #4 Mar 30 2012 17:37:28

%S 1,1,256,65536,16809856,4303323136,1101667434496,282026863230976,

%T 72198881268083456,18482913606768459776,4731625884430073102336,

%U 1211296226414098714198016,310091833962291289108054016

%N Shifts left when Dirichlet convolution (DC:(b,b)->a) applied 8 times.

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

%p k:=8: 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:='a': b[1]:= dc(a,a): for t from 2 to k do b[t]:= dc(b[t-1], b[t-1]) od: a:= n-> `if`(n=1, 1, b[k](n-1)): seq (a(n), n=1..20);

%Y 8th column of A144324.

%K eigen,nonn

%O 1,3

%A _Alois P. Heinz_, Sep 17 2008

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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)