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A324913 a(n) = Sum_{k=1..n} 2^k * phi(k), where phi is the Euler totient function A000010. 1
2, 6, 22, 54, 182, 310, 1078, 2102, 5174, 9270, 29750, 46134, 144438, 242742, 504886, 1029174, 3126326, 4699190, 14136374, 22524982, 47690806, 89633846, 274183222, 408400950, 1079489590, 1884795958, 4300715062, 7521940534, 22554326070, 31144260662, 95568770102 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..31.

Vaclav Kotesovec, Plot of a(n)/(n*2^n) for n = 1..100000

Eric Weisstein's World of Mathematics, Totient Function

Wikipedia, Euler's totient function

MATHEMATICA

Accumulate[Table[2^k*EulerPhi[k], {k, 1, 40}]]

CROSSREFS

Cf. A000010, A002088, A306988.

Sequence in context: A246624 A212872 A306967 * A027561 A321626 A126171

Adjacent sequences:  A324910 A324911 A324912 * A324914 A324915 A324916

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 18 2019

STATUS

approved

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Last modified April 8 03:01 EDT 2020. Contains 333312 sequences. (Running on oeis4.)