A215616 From Wendt's determinant compute (-A048954(2*n)/3)^(1/3).

1, 5, 0, 765, 41261, 0, 1175731456, 804611664045, 0, 4133434158867578125, 36792671310208420147421, 0, 33666995638445382179718361163901, 3930778415673723952392425569428439040, 0, 637350736211692642266912139961455499346709367565

Offset

1,2

Comments

It is known that 3 divides A048954(2*n). It is conjectured that the quotient is a perfect cube.

See A048954 for additional comments, references, links, and cross-references.

Links

Table of n, a(n) for n=1..16.

Gerard P. Michon, Factorization of Wendt's Determinant(see Remarks and Conjectures).

Formula

a(n) = (-A048954(2*n)/3)^(1/3).

a(n) = 0 if and only if n is divisible by 3.

Mathematica

w[n_] := Resultant[x^n - 1, (1 + x)^n - 1, x]; Table[(-w[2 n]/3)^(1/3), {n, 19}]

Crossrefs

Cf. A048954, A215615.

Sequence in context: A164555 A176327 A226156 * A249737 A129205 A327581

Adjacent sequences: A215613 A215614 A215615 * A215617 A215618 A215619

Keyword

nonn

Author

Jonathan Sondow, Aug 17 2012

Status

approved