cp's OEIS Frontend

A368583 Table read by rows: T(n, k) = A124320(n + 1, k) * A132393(n, k).

%I A368583 #6 Jan 22 2024 05:53:59
%S A368583 1,0,2,0,3,12,0,8,60,120,0,30,330,1260,1680,0,144,2100,11760,30240,
%T A368583 30240,0,840,15344,113400,428400,831600,665280,0,5760,127008,1169280,
%U A368583 5821200,16632000,25945920,17297280,0,45360,1176120,13000680,80415720,302702400,696215520,908107200,518918400
%N A368583 Table read by rows: T(n, k) = A124320(n + 1, k) * A132393(n, k).
%e A368583 Triangle starts:
%e A368583   [0] [1]
%e A368583   [1] [0,   2]
%e A368583   [2] [0,   3,   12]
%e A368583   [3] [0,   8,   60,     120]
%e A368583   [4] [0,  30,   330,   1260,   1680]
%e A368583   [5] [0, 144,  2100,  11760,  30240,  30240]
%e A368583   [6] [0, 840, 15344, 113400, 428400, 831600, 665280]
%o A368583 (SageMath)
%o A368583 def Trow(n): return [rising_factorial(n+1, k)*stirling_number1(n, k)
%o A368583                      for k in range(n+1)]
%o A368583 for n in range(7): print(Trow(n))
%Y A368583 Cf. A124320 (rising factorial), A132393 (unsigned Stirling1), A001813 (main diagonal), A052819 (row sums), A227457 (alternating row sums), A368584.
%K A368583 nonn,tabl
%O A368583 0,3
%A A368583 _Peter Luschny_, Jan 10 2024