A362849 Triangle read by rows, T(n, k) = A243664(n) * binomial(n, k).

1, 1, 1, 21, 42, 21, 1849, 5547, 5547, 1849, 426405, 1705620, 2558430, 1705620, 426405, 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081, 173959321557, 1043755929342, 2609389823355, 3479186431140, 2609389823355, 1043755929342, 173959321557

Offset: 0

Author

Peter Luschny, May 05 2023

Keywords

• nonn
• tabl

Examples

			[0]         1;
[1]         1,          1;
[2]        21,         42,         21;
[3]      1849,       5547,       5547,       1849;
[4]    426405,    1705620,    2558430,    1705620,     426405;
[5] 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081;
		

Crossrefs

Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), A362586 (m=2, Joffe), this sequence (m=3, A278073).

Cf. A243664 (column 0 and main diagonal).

Programs

SageMath

# uses[TransOrdPart from A362585]
def A362849(n) -> list[int]: return TransOrdPart(3, n)
for n in range(6): print(A362849(n))