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A336306 a(n) = (n!)^n * [x^n] Product_{n>=1} (1 + x^k/k^n). 0
1, 1, 1, 35, 5392, 35462624, 15419509448256, 445352317449860352384, 1733058447330128629281872412672, 1124641798042952855847954946807366969982976, 155064212713307814902013200520441969883490549760000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..10.

MATHEMATICA

Table[(n!)^n SeriesCoefficient[Product[(1 + x^k/k^n), {k, 1, n}], {x, 0, n}], {n, 0, 10}]

CROSSREFS

Cf. A007838, A326864, A326865, A336294, A336295.

Sequence in context: A212024 A231914 A202067 * A202881 A210268 A025036

Adjacent sequences:  A336303 A336304 A336305 * A336307 A336308 A336309

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 17 2020

STATUS

approved

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Last modified May 24 04:59 EDT 2022. Contains 354005 sequences. (Running on oeis4.)