A322819 a(n) = A000593(A122111(n)).

1, 1, 1, 4, 1, 4, 1, 6, 13, 4, 1, 6, 1, 4, 13, 8, 1, 24, 1, 6, 13, 4, 1, 8, 40, 4, 31, 6, 1, 24, 1, 12, 13, 4, 40, 32, 1, 4, 13, 8, 1, 24, 1, 6, 31, 4, 1, 12, 121, 78, 13, 6, 1, 48, 40, 8, 13, 4, 1, 32, 1, 4, 31, 14, 40, 24, 1, 6, 13, 78, 1, 48, 1, 4, 124, 6, 121, 24, 1, 12, 57, 4, 1, 32, 40, 4, 13, 8, 1, 48, 121, 6, 13, 4, 40, 14, 1, 240

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..20000

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = A000593(A122111(n)).

Prog

(PARI)
A000593(n) = sigma(n>>valuation(n, 2));
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)};
A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));
A322819(n) = A000593(A122111(n));

Crossrefs

Cf. A000593, A122111, A322813.

Sequence in context: A193254 A193454 A368921 * A089655 A322820 A097936

Adjacent sequences: A322816 A322817 A322818 * A322820 A322821 A322822

Keyword

nonn

Author

Antti Karttunen, Dec 27 2018

Status

approved