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A346395 E.g.f.: -log(1 - x) * exp(3*x). 2
0, 1, 7, 38, 192, 969, 5115, 29322, 187992, 1370745, 11392839, 107043606, 1122823944, 12989320785, 164040593067, 2243143392138, 32994768719376, 519229765892241, 8701862242296807, 154700700117472422, 2907409255935736752, 57588370882960384377, 1198954118077558162875 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

a(n) = n! * Sum_{k=0..n-1} 3^k / ((n-k) * k!).

a(n) ~ exp(3) * (n-1)!. - Vaclav Kotesovec, Aug 09 2021

MATHEMATICA

nmax = 22; CoefficientList[Series[-Log[1 - x] Exp[3 x], {x, 0, nmax}], x] Range[0, nmax]!

Table[n! Sum[3^k/((n - k) k!), {k, 0, n - 1}], {n, 0, 22}]

CROSSREFS

Cf. A002104, A053486, A346394, A346396.

Sequence in context: A026895 A037605 A128726 * A055146 A014827 A141845

Adjacent sequences:  A346392 A346393 A346394 * A346396 A346397 A346398

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 15 2021

STATUS

approved

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Last modified September 28 16:34 EDT 2021. Contains 347716 sequences. (Running on oeis4.)