A238467 Generalized ordered Bell numbers Bo(10,n).

1, 10, 210, 6610, 277410, 14553010, 916146210, 67285818610, 5647734061410, 533307215001010, 55954905981282210, 6457903731351210610, 813080459351919805410, 110901542660769629769010, 16290196917457939734258210

Offset

0,2

Comments

Row 10 of array A094416, which has more information.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..250

Formula

E.g.f.: 1/(11 - 10*exp(x)).

a(n) ~ n! / (11*(log(11/10))^(n+1)). - Vaclav Kotesovec, Mar 20 2014

a(0) = 1; a(n) = 10*a(n-1) - 11*Sum_{k=1..n-1} (-1)^k * binomial(n-1,k) * a(n-k). - Seiichi Manyama, Nov 17 2023

Mathematica

t=30; Range[0, t]! CoefficientList[Series[1/(11 - 10 Exp[x]), {x, 0, t}], x]

Prog

(Magma) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(11 - 10*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]];

Crossrefs

Cf. A000670, A004123, A032033, A094417, A094418, A094419, A238464.

Sequence in context: A001450 A076803 A120596 * A254322 A365341 A327411

Adjacent sequences: A238464 A238465 A238466 * A238468 A238469 A238470

Keyword

nonn

Author

Vincenzo Librandi, Mar 18 2014

Status

approved