cp's OEIS Frontend

A076482 Triangle with T(n,k)=n!*(k-1)^k/k! where 1<=k<=n.

%I A076482 #16 Jul 15 2023 10:35:34
%S A076482 0,0,1,0,3,8,0,12,32,81,0,60,160,405,1024,0,360,960,2430,6144,15625,0,
%T A076482 2520,6720,17010,43008,109375,279936,0,20160,53760,136080,344064,
%U A076482 875000,2239488,5764801,0,181440,483840,1224720,3096576,7875000,20155392,51883209,134217728
%N A076482 Triangle with T(n,k)=n!*(k-1)^k/k! where 1<=k<=n.
%H A076482 Seiichi Manyama, <a href="/A076482/b076482.txt">Rows n = 1..140, flattened</a>
%F A076482 T(n,k) = n*T(n, k-1) = A007778(k-1)*A008279(n,n-k) starting with T(n,n) = (n-1)^n = A007778(n-1).
%e A076482 Rows start
%e A076482   0;
%e A076482   0,   1;
%e A076482   0,   3,   8;
%e A076482   0,  12,  32,   81;
%e A076482   0,  60, 160,  405, 1024;
%e A076482   0, 360, 960, 2430, 6144, 15625;
%e A076482   ...
%t A076482 Table[n! (k-1)^k/k!,{n,0,10},{k,n}]//Flatten (* _Harvey P. Dale_, Nov 28 2019 *)
%Y A076482 Row sums are A076483.
%Y A076482 Cf. A001710, A007778, A008279.
%K A076482 nonn,tabl
%O A076482 1,5
%A A076482 _Henry Bottomley_, Oct 14 2002