A335786 a(n)/n! is the maximum absolute value of the entries of the inverse of the Vandermonde matrix with entries 0,1,2,..., n-1.

1, 2, 12, 72, 570, 6420, 73710, 1062880, 16152192, 295701840, 5972551200, 142376439744, 3404745197568, 93970796984064, 2607611074548480, 81965344295577600, 2592539062735564800, 91576434008178662400, 3254436161821209530880, 127719736848201606451200

Offset

1,2

Comments

Determinant of the Vandermonde matrix itself (not the inverse) is given by A000178.

Links

Table of n, a(n) for n=1..20.

W. Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices, Numerische Mathematik 4 (1962), 117-123.

Crossrefs

Cf. A000178.

Sequence in context: A144086 A358064 A348767 * A005443 A362796 A002867

Adjacent sequences: A335783 A335784 A335785 * A335787 A335788 A335789

Keyword

nonn

Author

Jeffrey Shallit, Jun 23 2020

Status

approved