cp's OEIS Frontend

A344914 T(n, k) = 2^(3*k)*(n - 3*k)!, for n >= 0 and 0 <= k <= floor(n/3). Triangle read by rows.

%I A344914 #5 Feb 13 2022 18:05:44
%S A344914 1,1,2,6,8,24,8,120,16,720,48,64,5040,192,64,40320,960,128,362880,
%T A344914 5760,384,512,3628800,40320,1536,512,39916800,322560,7680,1024,
%U A344914 479001600,2903040,46080,3072,4096,6227020800,29030400,322560,12288,4096
%N A344914 T(n, k) = 2^(3*k)*(n - 3*k)!, for n >= 0 and 0 <= k <= floor(n/3). Triangle read by rows.
%e A344914 [ 0] 1;
%e A344914 [ 1] 1;
%e A344914 [ 2] 2;
%e A344914 [ 3] 6,         8;
%e A344914 [ 4] 24,        8;
%e A344914 [ 5] 120,       16;
%e A344914 [ 6] 720,       48,      64;
%e A344914 [ 7] 5040,      192,     64;
%e A344914 [ 8] 40320,     960,     128;
%e A344914 [ 9] 362880,    5760,    384,   512;
%e A344914 [10] 3628800,   40320,   1536,  512;
%e A344914 [11] 39916800,  322560,  7680,  1024;
%e A344914 [12] 479001600, 2903040, 46080, 3072, 4096;
%p A344914 T := (n, k) -> 2^(3*k)*(n-3*k)!: seq(seq(T(n,k), k = 0..n/3), n = 0..13);
%t A344914 Table[2^(3k) (n-3k)!,{n,0,20},{k,0,Floor[n/3]}]//Flatten (* _Harvey P. Dale_, Feb 13 2022 *)
%Y A344914 Cf. A000142, A138230.
%K A344914 nonn,tabf
%O A344914 0,3
%A A344914 _Peter Luschny_, Jun 06 2021