login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A055612 a(n) = Product_{m=1..n} (binomial(n,m)+1). 6
1, 2, 6, 32, 350, 8712, 526848, 80289792, 31428168318, 31906468445000, 84447578671097576, 584524457418427932672, 10604795873304968964262400, 505245441738743508813986275328, 63320582170435750241601032951040000, 20908669294849228879861552351685432573952 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

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

MATHEMATICA

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

PROG

(Haskell)

a055612 = product . map (+ 1) . tail . a007318_row

-- Reinhard Zumkeller, Jan 31 2015

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

CROSSREFS

Cf. A007318, A217716, A293954, A293955.

Sequence in context: A172401 A272661 A005742 * A236691 A056642 A001199

Adjacent sequences:  A055609 A055610 A055611 * A055613 A055614 A055615

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 03 2000

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 15 22:06 EDT 2021. Contains 345053 sequences. (Running on oeis4.)