requesting scan of p. 228 from Symmetric Function and Allied Tables (1966)

[Natalia L. Skirrow]

I have been working on a page about the third kind of Stirling number, and A008969 (a number triangle that scales by powers of factorials to make entries integer) lists SFaAT as describing them on p. 228; other sections have been uploaded to the OEIS, and an inter-library loan will likely be expensive, can anyone who has the book scan and upload the relevant excerpt?

[Neil Sloane]

Here you go!  Can you upload it yourself to the sequence?

Best regards

Neil 

Neil J. A. Sloane, Chairman, OEIS Foundation.

Also Visiting Scientist, Math. Dept., Rutgers University, 

Email: njas...@gmail.com

On Tue, Oct 14, 2025 at 9:14 AM Natalia L. Skirrow <dronebetter...@gmail.com> wrote:

I have been working on a page about the third kind of Stirling number, and A008969 (a number triangle that scales by powers of factorials to make entries integer) lists SFaAT as describing them on p. 228; other sections have been uploaded to the OEIS, and an inter-library loan will likely be expensive, can anyone who has the book scan and upload the relevant excerpt?

--
You received this message because you are subscribed to the Google Groups "SeqFan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to seqfan+un...@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/seqfan/59d8c8b4-a7f0-4843-b6d5-0b7312171179n%40googlegroups.com.

[Brendan]

Here is Maple code, which should be easy to translate to other languages.

S := proc(n,r,j) option remember;
        if n = 0 then 1/j^r;
        else S(n-1,r,j+1)-S(n-1,r,j)
        end if;
end proc;
A := (n,r) -> ((n+1)!)^r * abs(S(n,r,1)) / n!;

Eg,

> A(10,12)
4498607227742743734699578157092398416324947564107251882145271134895996928000000000000

Brendan.

To view this discussion visit https://groups.google.com/d/msgid/seqfan/CAAOnSgSB1v6EAurDD9-woZAFBj%2Bju2nK6EWhcdddy_je_Od0Vw%40mail.gmail.com.