User talk:Paul Curtz

Cher Monsieur Curtz,

Je cherche un exemplaire de votre article "Intégration numérique des systèmes différentiels à conditions initiales", cité dans l'enclopédie pour la suite A140825. Si vous pourrez m'aider à l'obtenir, répondez ici ou sur mon page utilisateur.

Je vous remercie, Jack W Grahl, Jack W Grahl (talk) 18:49, 22 February 2021 (EST)

Dera Mr. Curtz, I will use this section do save some of your ideas and comments of database editing which may get lost.

From A013979:

NAME Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).

From Paul Curtz, Aug 18 2021: (Start)

Consider the indefinitely repeated diagonal c(n) = 1, 0, 0, A000930(n):

  1

    0

  1   0

    0   1

  1   0   1

    0   1   1

  1   0   1   2

    0   1   1   3

  1   0   1   2   4

    0   1   1   3   6

  1   0   1   2   4   9

    0   1   1   3   6   13

  1   0   1   2   4   9    19

    0   1   1   3   6   13    28

  ... .

Row sums = a(n).

Diagonal or antidiagonal sums = A000930(n) (End) 

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 	12:55 	

Paul Curtz: b(n) = 1, 1, A006212(n) for the same transform (triangle). Every dia: 1; 1; 1, 0; 1, 1; 1, 0, 4; 1, 1, 14; 1, 0, 4, 56; 1, 1, 14, 256; 1, 0, 4, 56, 1324; ... . Every diagonal is b(n). Row sums: A000111(n). Diagonal or antidiagonal sums: c(n) = 1, 2, 2, 3, 7, 21, 77, 333, ... .

	13:11 	

Paul Curtz: Delete Every dia in the last comment. This comment gives an idea of the interest of the transform. c(n+1) - c(n) = 1, 0, 1, 4, 14, 56, 256, 1324, 

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