A367852 Expansion of e.g.f. 1/(1 - x + log(1 - 3*x)/3).

1, 2, 11, 102, 1320, 21804, 436986, 10283580, 277697304, 8458929792, 286825214592, 10712216384352, 436859348261904, 19313926491051360, 920053448561989296, 46977842202096405024, 2559387620091962391552, 148187802162935002975488

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 3^(k-1) * (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+sum(j=1, i, 3^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A052820, A367851, A367853.

Cf. A352069, A355111, A367846.

Sequence in context: A115941 A351622 A024721 * A285199 A339081 A081716

Adjacent sequences: A367849 A367850 A367851 * A367853 A367854 A367855

Keyword

nonn

Author

Seiichi Manyama, Dec 02 2023

Status

approved