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A338436 a(n) = n! * [x^n] Product_{k=1..n, gcd(n,k) = 1} 1 / (1 - x^k/k!). 1
1, 1, 2, 9, 28, 245, 726, 11480, 48560, 735705, 4352050, 98329550, 483122388, 15543026746, 105478954140, 2717386363515, 25322712724800, 896697825211141, 6457456535543802, 307183340680888754, 2920059397230745400, 107461248960479482740, 1360407935621917573380 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

MATHEMATICA

Table[n! SeriesCoefficient[Product[1/(1 - Boole[GCD[n, k] == 1] x^k/k!), {k, 1, n}], {x, 0, n}], {n, 0, 22}]

CROSSREFS

Cf. A005651, A057562, A338438.

Sequence in context: A138912 A002747 A110377 * A041877 A090208 A123058

Adjacent sequences:  A338433 A338434 A338435 * A338437 A338438 A338439

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 27 2020

STATUS

approved

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Last modified October 2 01:30 EDT 2022. Contains 357191 sequences. (Running on oeis4.)