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A282233 First series of Hankel determinants based on the products of neighboring Bell numbers. 0
1, 1, 6, 1055, 14606314, 33143919758680, 22267046989512672170336, 7285866264181337147045855103986688, 1781649668242877630192672905891678928849224925184, 473327995970000906910794932602675277099003301525093377217468301312, 190409117523115245360631492077956735203951134543617722726883256728186285522700472418304 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..10.

MAPLE

with(LinearAlgebra), with(combinat):

h0:=(i, j)->bell(i+j-2)*bell(i+j-1);

seq(Determinant(Matrix(kk, kk, h0)), kk=0..10);

MATHEMATICA

Flatten[{1,

  Table[Det[

    Table[BellB[i + j - 2]*BellB[i + j - 1], {i, n}, {j, n}]], {n,

    10}]}]

CROSSREFS

Cf. A278903

Sequence in context: A203303 A159865 A004806 * A125536 A003763 A179853

Adjacent sequences:  A282230 A282231 A282232 * A282234 A282235 A282236

KEYWORD

nonn

AUTHOR

Karol A. Penson, Feb 09 2017

STATUS

approved

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Last modified September 21 11:46 EDT 2020. Contains 337268 sequences. (Running on oeis4.)