A336837 Numerator of ratio A336841(n)/A000005(n).

0, 1, 2, 14, 3, 9, 5, 17, 44, 13, 6, 32, 8, 21, 23, 284, 9, 163, 11, 137, 37, 25, 14, 105, 30, 33, 86, 73, 15, 81, 18, 547, 44, 37, 53, 1622, 20, 45, 58, 149, 21, 129, 23, 260, 401, 57, 26, 1662, 230, 109, 65, 114, 29, 297, 63, 237, 79, 61, 30, 263, 33, 73, 213, 4010, 83, 153, 35, 383, 100, 183, 36, 1715, 39, 81

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = A336841(n) / A336856(n) = A336841(n) / gcd(A000005(n), A336841(n)).

Prog

(PARI)
A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
A336841(n) = ((numdiv(n)*A003961(n)) - sigma(A003961(n)));
A336837(n) = numerator(A336841(n)/numdiv(n));

Crossrefs

Cf. A000005, A003961, A003973, A336838, A336841, A336856.

Cf. A336839 (denominators).

Sequence in context: A227628 A298800 A138907 * A276189 A281944 A306724

Adjacent sequences: A336834 A336835 A336836 * A336838 A336839 A336840

Keyword

nonn,frac

Author

Antti Karttunen, Aug 07 2020

Status

approved