A139000 a(n) = discriminant of n-th Bell polynomial.

0, 1, 1, 5, 257, 227081, 5180893281, 4280906663314189, 171185545597850136406017, 426885502327596067385688208587793, 83152665259106642682190066734067859360190625, 1549180370826247785860196691818235616463808908569519107349

Offset

0,4

Links

Table of n, a(n) for n=0..11.

Eric Weisstein's World of Mathematics, Bell Polynomial.

Example

a(4) = 257 because discriminant of the 4th Bell polynomial x + 7 x^2 + 6 x^3 + x^4 is 257.

Maple

seq(discrim(BellB(n, x), x), n = 0..12); # Peter Luschny, Oct 08 2023

Mathematica

Table[Discriminant[BellB[n, x], x], {n, 0, 10}] (* Vaclav Kotesovec, Oct 08 2023 *)

Prog

(PARI) a(n) = poldisc(Pol(vector(n+1, k, stirling(n, k, 2)))); \\ Michel Marcus, Oct 07 2023

Crossrefs

Cf. A106800.

Sequence in context: A055386 A216849 A201606 * A061959 A002554 A003383

Adjacent sequences: A138997 A138998 A138999 * A139001 A139002 A139003

Keyword

nonn

Author

Artur Jasinski, Apr 05 2008

Extensions

Offset set to 0 by Peter Luschny, Oct 08 2023

Status

approved