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Triangle with a(n,1) = n and a(n,k) = a(n,k-1) * a(n-1,k-1).
4

%I #7 Jun 30 2023 22:17:15

%S 1,2,2,3,6,12,4,12,72,864,5,20,240,17280,14929920,6,30,600,144000,

%T 2488320000,37150418534400000,7,42,1260,756000,108864000000,

%U 270888468480000000000,10063619980174622195712000000000000000,8,56

%N Triangle with a(n,1) = n and a(n,k) = a(n,k-1) * a(n-1,k-1).

%e Rows start

%e 1;

%e 2, 2;

%e 3, 6, 12;

%e 4, 12, 72, 864;

%e ...

%Y Columns include A000027, A002378, A047928, A064321. Right-hand side is A064320. Cf. A053218 which uses addition rather than multiplication to produce binomial transform.

%K nonn,tabl

%O 1,2

%A _Henry Bottomley_, Sep 10 2001

%E Name corrected by _Sean A. Irvine_, Jun 30 2023