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!)
A321953 Column k=8 of triangle A257673. 3
1, 24, 300, 2624, 18126, 105552, 539408, 2485016, 10518477, 41482336, 154055260, 543239064, 1830924554, 5929728456, 18534968236, 56121729792, 165117049094, 473276306552, 1324582728412, 3626879184272, 9732325392280, 25631811881168, 66342981204768 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..5000

FORMULA

G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^8. - Ilya Gutkovskiy, Jan 31 2021

MAPLE

b:= proc(n, k) option remember; `if`(n=0, 1, k*add(

      b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)

    end:

a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(8):

seq(a(n), n=8..35);

CROSSREFS

Column k=8 of A257673.

Sequence in context: A010976 A100130 A014103 * A206002 A000552 A233876

Adjacent sequences:  A321950 A321951 A321952 * A321954 A321955 A321956

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 22 2018

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 September 26 19:00 EDT 2021. Contains 347670 sequences. (Running on oeis4.)