A293955 -id:A293955 - 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

A293954 First differences of A055612.

Original entry on oeis.org

1, 4, 26, 318, 8362, 518136, 79762944, 31347878526, 31875040276682, 84415672202652576, 584440009839756835096, 10604211348847550536329728, 505234836942870203845022012928, 63320076924994011498092218964764672, 20908605974267058444111310750652481533952

Offset: 0

N. J. A. Sloane, Oct 30 2017, following a suggestion from Joerg Arndt

nonn

Robert Israel, Table of n, a(n) for n = 0..68

Cf. A055612, A217716, A293955.

A055612:= n -> mul(binomial(n,m)+1,m=1..n):
seq(A055612(n+1)-A055612(n),n=0..20); # Robert Israel, Oct 30 2017

Differences@ 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).

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