A329044 - OEIS

%I #7 Nov 08 2019 18:16:26

%S 1,2,3,4,5,9,7,6,15,25,11,81,13,49,15625,36,17,225,19,625,117649,121,

%T 23,135,60025,169,21,2401,29,21875,31,10,1771561,289,697540921,50625,

%U 37,361,4826809,35,41,77,43,14641,84035,529,47,375,161212051,3603000625,24137569,28561,53,441,2474329,5764801,47045881,841,59,42875,61,961

%N a(n) = A064989(A324886(n)).

%H Antti Karttunen, <a href="/A329044/b329044.txt">Table of n, a(n) for n = 1..3000</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%H <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>

%F a(n) = A064989(A324886(n)).

%F a(A000040(n)) = A000040(n).

%o (PARI)

%o A034386(n) = prod(i=1, primepi(n), prime(i));

%o A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) };  \\ From A108951

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A324886(n) = A276086(A108951(n));

%o A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};

%o A329044(n) = A064989(A324886(n));

%Y Cf. A034386, A064989, A108951, A276086, A324886, A329045.

%K nonn

%O 1,2

%A _Antti Karttunen_, Nov 08 2019