A217034 E.g.f.: 1-log(1-log(1-log(1-x))).

1, 1, 1, 3, 11, 57, 354, 2657, 23001, 227364, 2517898, 30934340, 417240592, 6132179622, 97529525040, 1669193368918, 30588551262442, 597618281777224, 12400582017332944, 272361147076466888, 6312733766495858856, 153984431772484535840, 3943242146803039347776

Offset

0,4

Links

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

Formula

a(n) ~ (n-1)! / (1-exp(1-exp(1)))^n. - Vaclav Kotesovec, Aug 24 2017

Example

E.g.f.: A(x) = 1 + x + x^2/2! + 3*x^3/3! + 11*x^4/4! + 57*x^5/5! + 354*x^6/6! +...

Mathematica

With[{nn=30}, CoefficientList[Series[1-Log[1-Log[1-Log[1-x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 23 2017 *)

Prog

(PARI) {a(n)=n!*polcoeff(1-log(1-log(1-log(1-x +x*O(x^n)))), n)}
for(n=0, 25, print1(a(n), ", "))

Crossrefs

Sequence in context: A207433 A094611 A052442 * A330351 A180112 A188458

Adjacent sequences: A217031 A217032 A217033 * A217035 A217036 A217037

Keyword

nonn

Author

Paul D. Hanna, Sep 24 2012

Status

approved