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A329371 Dirichlet convolution of the identity function with A246277. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 23 12:19 EDT 2021. Contains 346259 sequences. (Running on oeis4.)