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A032318 Shifts left under "EGJ" (unordered, element, labeled) transform. 1

%I #11 Sep 21 2018 02:22:00

%S 2,2,4,16,78,458,3614,31418,315146,3566102,44827218,620168182,

%T 9347754294,152775554602,2687701571514,50670888880518,

%U 1018944127466708,21770157246285044,492495459066530344,11760335921226686984,295609024379492858260,7801944836722158839916

%N Shifts left under "EGJ" (unordered, element, labeled) transform.

%H Andrew Howroyd, <a href="/A032318/b032318.txt">Table of n, a(n) for n = 1..200</a>

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

%o (PARI) EGJ(v)={Vec(serlaplace(prod(k=1, #v, (1 + x^k/k! + O(x*x^#v))^v[k]))-1, -#v)}

%o seq(n)={my(v=[2]); for(n=2, n, v=concat([2], EGJ(v))); v} \\ _Andrew Howroyd_, Sep 11 2018

%o (PARI) seq(n)={my(p=(1+x)^2 + O(x^n)); for(k=2, n-1, p*=(1 + x^k/k! + O(x^n))^((k-1)!*polcoef(p,k-1))); Vec(1+serlaplace(p))} \\ _Andrew Howroyd_, Sep 20 2018

%K nonn

%O 1,1

%A _Christian G. Bower_

%E Terms a(20) and beyond from _Andrew Howroyd_, Sep 20 2018

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Last modified September 3 23:03 EDT 2024. Contains 375679 sequences. (Running on oeis4.)