A329044 a(n) = A064989(A324886(n)).

1, 2, 3, 4, 5, 9, 7, 6, 15, 25, 11, 81, 13, 49, 15625, 36, 17, 225, 19, 625, 117649, 121, 23, 135, 60025, 169, 21, 2401, 29, 21875, 31, 10, 1771561, 289, 697540921, 50625, 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

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..3000

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Formula

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

a(A000040(n)) = A000040(n).

Prog

(PARI)
A034386(n) = prod(i=1, primepi(n), prime(i));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) };  \\ From A108951
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A324886(n) = A276086(A108951(n));
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)};
A329044(n) = A064989(A324886(n));

Crossrefs

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

Sequence in context: A245821 A075161 A298268 * A222251 A347759 A241916

Adjacent sequences: A329041 A329042 A329043 * A329045 A329046 A329047

Keyword

nonn

Author

Antti Karttunen, Nov 08 2019

Status

approved