A373571 Triangle read by rows: Coefficients of the polynomials S2(n, x) * EP(n, x), where S2 denote the Stirling set polynomials and EP the Eulerian polynomials A173018.

1, 0, 1, 0, 1, 2, 1, 0, 1, 7, 14, 7, 1, 0, 1, 18, 94, 145, 84, 17, 1, 0, 1, 41, 481, 1676, 2302, 1351, 351, 36, 1, 0, 1, 88, 2159, 14859, 40319, 49434, 29378, 8627, 1222, 72, 1, 0, 1, 183, 9052, 113919, 554030, 1236040, 1380913, 816404, 260968, 44577, 3851, 141, 1

Offset: 0

Author

Peter Luschny, Jun 15 2024

Keywords

• nonn
• tabf

Examples

			Triangle starts:
[0] [1]
[1] [0, 1]
[2] [0, 1,  2,    1]
[3] [0, 1,  7,   14,     7,     1]
[4] [0, 1, 18,   94,   145,    84,    17,     1]
[5] [0, 1, 41,  481,  1676,  2302,  1351,   351,   36,    1]
[6] [0, 1, 88, 2159, 14859, 40319, 49434, 29378, 8627, 1222, 72, 1]
		

Crossrefs

Cf. A048993, A173018, A373657, A373428, A320956, A137341 (row sums).

Programs

Maple

PolyProd(Stirling2, combinat:-eulerian1, 7);  # Using PolyProd from A373657.