A293954 -id:A293954 - cp's OEIS frontend

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

N. J. A. Sloane, Jun 03 2000

nonn

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

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

Cf. A007318, A217716, A293954, A293955.

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

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

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

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

A293955 Partial sums of A055612.

Original entry on oeis.org

1, 3, 9, 41, 391, 9103, 535951, 80825743, 31508994061, 31937977439061, 84479516648536637, 584608936935076469309, 10605380482241904040731709, 505256047119225750718027007037, 63321087426482869467351750978047037, 20908732615936655362731019703436410620989

Offset: 0

N. J. A. Sloane, Oct 30 2017

nonn

Robert Israel, Table of n, a(n) for n = 0..69

Cf. A055612, A217716, A293954.

ListTools:-PartialSums([seq(mul(binomial(n,m)+1,m=1..n),n=0..20)]); # Robert Israel, Oct 30 2017

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

cp's OEIS Frontend

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

Views

Author

Keywords

References

Links

Crossrefs

Programs

Haskell

Mathematica

PARI

Formula