A329371 Dirichlet convolution of the identity function with A246277.

0, 1, 1, 4, 1, 8, 1, 12, 5, 12, 1, 28, 1, 16, 11, 32, 1, 37, 1, 44, 15, 24, 1, 80, 7, 28, 19, 60, 1, 82, 1, 80, 21, 36, 15, 128, 1, 40, 27, 128, 1, 114, 1, 92, 49, 48, 1, 208, 9, 89, 33, 108, 1, 146, 21, 176, 39, 60, 1, 284, 1, 64, 69, 192, 25, 174, 1, 140, 45, 170, 1, 364, 1, 76, 70, 156, 21, 210, 1, 336, 65, 84, 1, 396, 33, 88, 55, 272, 1, 368, 25, 188, 63

Offset

1,4

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) = Sum_{d|n} d * A246277(n/d).

Prog

(PARI)
A246277(n) = if(1==n, 0, my(f = factor(n), k = primepi(f[1, 1])-1); for (i=1, #f~, f[i, 1] = prime(primepi(f[i, 1])-k)); factorback(f)/2);
A329371(n) = sumdiv(n, d, (n/d)*A246277(d));

Crossrefs

Cf. A246277.

Cf. also A305796, A323599, A329347, A329372, A329373.

Sequence in context: A265722 A019425 A255242 * A305834 A295786 A080102

Adjacent sequences: A329368 A329369 A329370 * A329372 A329373 A329374

Keyword

nonn

Author

Antti Karttunen, Nov 12 2019

Status

approved