A086734 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A086734

Convolution of the prime numbers with phi(n).

2, 5, 12, 22, 42, 64, 104, 148, 214, 286, 394, 504, 662, 824, 1028, 1254, 1538, 1822, 2188, 2568, 3002, 3482, 4038, 4586, 5260, 5948, 6722, 7558, 8484, 9394, 10484, 11608, 12810, 14106, 15554, 16926, 18566, 20226, 21958, 23828, 25916, 27888, 30220, 32458, 34908, 37418, 40318, 42976, 46088, 49124

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..50.

MATHEMATICA

Table[Sum[Prime[j]*EulerPhi[n-j], {j, 1, n-1}], {n, 2, 60}] (* Vaclav Kotesovec, Apr 12 2019 *)

PROG

(PARI) a(n) = sum(j=1, n, prime(j)*eulerphi(n-j+1)); \\ Michel Marcus, Apr 12 2019

CROSSREFS

Cf. A000010, A000040.

Sequence in context: A116718 A026035 A215183 * A123647 A166249 A326762