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

2, 2, 4, 16, 78, 458, 3614, 31418, 315146, 3566102, 44827218, 620168182, 9347754294, 152775554602, 2687701571514, 50670888880518, 1018944127466708, 21770157246285044, 492495459066530344, 11760335921226686984, 295609024379492858260, 7801944836722158839916

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..200

C. G. Bower, Transforms (2)

Prog

(PARI) EGJ(v)={Vec(serlaplace(prod(k=1, #v, (1 + x^k/k! + O(x*x^#v))^v[k]))-1, -#v)}
seq(n)={my(v=[2]); for(n=2, n, v=concat([2], EGJ(v))); v} \\ Andrew Howroyd, Sep 11 2018
(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

Crossrefs

Sequence in context: A326481 A009542 A244108 * A090753 A091788 A063401

Adjacent sequences: A032315 A032316 A032317 * A032319 A032320 A032321

Keyword

nonn

Author

Christian G. Bower

Extensions

Terms a(20) and beyond from Andrew Howroyd, Sep 20 2018

Status

approved