cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A330746 Number of values of k, 1 <= k <= n, with A017666(k) = A017666(n), where A017666(n) = n/gcd(n, sigma(n)).

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%I A330746 #10 Jan 11 2020 21:50:18
%S A330746 1,1,1,1,1,2,1,1,1,2,1,2,1,2,3,1,1,1,1,1,1,2,1,2,1,2,1,3,1,4,1,1,3,2,
%T A330746 1,1,1,2,1,2,1,3,1,4,1,2,1,1,1,1,3,1,1,2,1,4,1,2,1,5,1,2,1,1,1,5,1,1,
%U A330746 3,2,1,1,1,2,1,3,1,3,1,1,1,2,1,3,1,2,3,1,1,6,4,4,1,2,4,2,1,1,1,1,1,4,1,1,3
%N A330746 Number of values of k, 1 <= k <= n, with A017666(k) = A017666(n), where A017666(n) = n/gcd(n, sigma(n)).
%C A330746 Ordinal transform of A017666.
%H A330746 Antti Karttunen, <a href="/A330746/b330746.txt">Table of n, a(n) for n = 1..65537</a>
%F A330746 For all n >= 1, a(A014567(n)) = 1.
%F A330746 For all n >= 1, a(A007691(n)) = a(A159907(n)) = a(A245775(n)) = n.
%o A330746 (PARI)
%o A330746 up_to = 65537;
%o A330746 ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om,invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om,invec[i],(1+pt))); outvec; };
%o A330746 A017666(n) = (n/gcd(n, sigma(n)));
%o A330746 v330746 = ordinal_transform(vector(up_to, n, A017666(n)));
%o A330746 A330746(n) = v330746[n];
%Y A330746 Cf. A009194, A014567, A017666.
%Y A330746 A left inverse of following sequences: A007691, A159907, A245775.
%Y A330746 Cf. also A331175.
%K A330746 nonn
%O A330746 1,6
%A A330746 _Antti Karttunen_, Jan 11 2020