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A344573 a(n) = Sum_{d|n} phi(d!). 0
1, 2, 3, 10, 33, 196, 1153, 9226, 82947, 829474, 8294401, 99533004, 1194393601, 16721511554, 250822656035, 4013162505226, 64210599936001, 1155790798931140, 20804234379264001, 416084687586109482, 8737778439290881155, 192231125664407654402, 4229084764616785920001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..23.

EXAMPLE

a(6) = Sum_{d|6} phi(d!) = phi(1!) + phi(2!) + phi(3!) + phi(6!) = 1 + 1 + 2 + 192 = 196.

MATHEMATICA

Table[Sum[EulerPhi[k!] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 30}]

CROSSREFS

Cf. A000010 (phi).

Sequence in context: A080022 A192913 A057146 * A300127 A059735 A134959

Adjacent sequences:  A344570 A344571 A344572 * A344574 A344575 A344576

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 23 2021

STATUS

approved

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Last modified December 2 01:47 EST 2021. Contains 349435 sequences. (Running on oeis4.)