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A032314 "EGJ" (unordered, element, labeled) transform of 3,3,3,3... 3

%I #8 Sep 11 2018 16:02:13

%S 1,3,9,36,165,768,4212,24573,146949,994608,6824064,49026783,382079820,

%T 3012960603,24957495705,216087717621,1931094309909,17705427261168,

%U 169400058948720,1679587464655155,16724057142118920,174698022293109813,1876447876721132955

%N "EGJ" (unordered, element, labeled) transform of 3,3,3,3...

%H Andrew Howroyd, <a href="/A032314/b032314.txt">Table of n, a(n) for n = 0..200</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%F E.g.f: Product_{k > 0} (1 + x^k/k!)^3. - _Andrew Howroyd_, Sep 11 2018

%o (PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/k! + O(x*x^n))^3)))} \\ _Andrew Howroyd_, Sep 11 2018

%K nonn

%O 0,2

%A _Christian G. Bower_

%E a(0)=1 prepended and terms a(20) and beyond from _Andrew Howroyd_, Sep 11 2018

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Last modified April 19 14:50 EDT 2024. Contains 371792 sequences. (Running on oeis4.)