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

1, 0, 2, 0, 3, 12, 0, 8, 60, 120, 0, 30, 330, 1260, 1680, 0, 144, 2100, 11760, 30240, 30240, 0, 840, 15344, 113400, 428400, 831600, 665280, 0, 5760, 127008, 1169280, 5821200, 16632000, 25945920, 17297280, 0, 45360, 1176120, 13000680, 80415720, 302702400, 696215520, 908107200, 518918400

Offset

0,3

Links

Table of n, a(n) for n=0..44.

Example

Triangle starts:
  [0] [1]
  [1] [0,   2]
  [2] [0,   3,   12]
  [3] [0,   8,   60,     120]
  [4] [0,  30,   330,   1260,   1680]
  [5] [0, 144,  2100,  11760,  30240,  30240]
  [6] [0, 840, 15344, 113400, 428400, 831600, 665280]

Prog

(SageMath)
def Trow(n): return [rising_factorial(n+1, k)*stirling_number1(n, k)
                     for k in range(n+1)]
for n in range(7): print(Trow(n))

Crossrefs

Cf. A124320 (rising factorial), A132393 (unsigned Stirling1), A001813 (main diagonal), A052819 (row sums), A227457 (alternating row sums), A368584.

Sequence in context: A077928 A105418 A368584 * A365547 A280180 A337995

Adjacent sequences: A368580 A368581 A368582 * A368584 A368585 A368586

Keyword

nonn,tabl

Author

Peter Luschny, Jan 10 2024

Status

approved