Peirce Numbers

[Jon Awbrey]

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| Charles Sanders Peirce, "On the Algebra of Logic",
|'American Journal of Mathematics, Vol. 3, pages 15-57, 1880.
|
| appears as CP 3.154-251, pages 104-157, in:
|
|'Collected Papers of Charles Sanders Peirce',
| Volumes 1-6 edited by Charles Hartshorne & Paul Weiss, 1931-35,
| Volumes 7-8 edited by Arthur W. Burks, 1958,
| Harvard University Press, Cambridge, MA.
|
| appears as CE 4, pages 163-209, in:
|
|'Writings of Charles S. Peirce:  A Chronological Edition',
|'Volume 4, 1879-1884', Peirce Edition Project,
| Indiana University Press, Bloomington, IN, 1986.

Enumerates "the number of individual forms for the (n+2)-fold relative",
with Taylor series expansion, finite diff formula, and generating array,
at (CP 3.229) and (CE 4, 199-200).

Peirce Resources:

Online:

http://members.door.net/arisbe/menu/library/bycsp/bycsp.htm

CD Format:

http://www.nlx.com/titles/titlpeir.htm

A 'Chronological Edition' of Peirce's Writings
is being ground out at an agonizingly slow pace:

| Charles Sanders Peirce,
|'Writings of Charles S. Peirce:  A Chronological Edition',
|'Volume 1:  1857-1866',
|'Volume 2:  1867-1871',
|'Volume 3:  1872-1878',
|'Volume 4:  1879-1884',
|'Volume 5:  1884-1886',
|'Volume 6:  1886–1890',
| and still counting ... 
| 30-50 volumes expected!
|
| Peirce Edition Project,
| Indiana University Press, Bloomington, IN, 1982-????
|
| http://www.iupui.edu/~peirce/web/index.htm
| http://www.iupui.edu/~peirce/web/desc/desc.htm
| http://www.iupui.edu/~peirce/web/writings/crit.htm

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Richard Guy wrote:
> 
> Can anyone give any refs to the following,
> whose rows add to Bell_(n+2)
> 
>      2   2   0     0     0     0    0     0   0  0
>      5   2   3     0     0     0    0     0   0  0
>     15   2   9     4     0     0    0     0   0  0
>     52   2  21    24     5     0    0     0   0  0
>    203   2  45   100    50     6    0     0   0  0
>    877   2  93   360   325    90    7     0   0  0
>   4140   2 189  1204  1750   840  147     8   0  0
>  21147   2 381  3864  8505  6300 1862   224   9  0
> 115975   2 765 12100 38850 41706 18522 3696 324 10
> 
> You can get them by multiplying the corresp
> Stirling numbers of the 2nd kind by  k+2.
> 
> The diagonal 2 9 24 50 90 147 224 324 450 605
> is A006002 in OEIS, but I didn't find lower
> diagonals or columns.     R.

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