A055612 a(n) = Product_{m=1..n} (binomial(n,m)+1).

1, 2, 6, 32, 350, 8712, 526848, 80289792, 31428168318, 31906468445000, 84447578671097576, 584524457418427932672, 10604795873304968964262400, 505245441738743508813986275328, 63320582170435750241601032951040000, 20908669294849228879861552351685432573952

Offset: 0

Author

N. J. A. Sloane, Jun 03 2000

Keywords

• nonn

References

• V. K. Kharchenko, Fixed rings and noncommutative invariant theory, pp. 359-398 of M. Hazewinkel, ed., Handbook of Algebra, Vol. 2, Elsevier, 2000.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..69

Crossrefs

Cf. A007318, A217716, A293954, A293955.

Programs

Haskell

a055612 = product . map (+ 1) . tail . a007318_row
-- Reinhard Zumkeller, Jan 31 2015

Mathematica

Array[Product[1 + Binomial[#, m], {m, #}] &, 16, 0] (* Michael De Vlieger, Oct 30 2017 *)

PARI

a(n) = prod(m=1, n, 1+binomial(n, m)); \\ Michel Marcus, Oct 30 2017

Formula

a(n) = A129824(n) / 2. - Reinhard Zumkeller, Jan 31 2015