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A367923
Expansion of e.g.f. 1/(1 - x + 3*log(1 - x)).
2
1, 4, 35, 462, 8136, 179112, 4731786, 145838844, 5137045848, 203566459392, 8963064065088, 434109674396736, 22936702911358608, 1312878755037640320, 80928769156102447920, 5344960170283958863008, 376543135663291116638208, 28184733661095459402610176
OFFSET
0,2
FORMULA
a(0) = 1; a(n) = n * a(n-1) + 3 * Sum_{k=1..n} (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]+3*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;
CROSSREFS
Cf. A367846.
Sequence in context: A132694 A270917 A367925 * A242795 A349527 A287886
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 05 2023
STATUS
approved