A350256 Triangle read by rows. T(n, k) = BellPolynomial(n, k).

1, 0, 1, 0, 2, 6, 0, 5, 22, 57, 0, 15, 94, 309, 756, 0, 52, 454, 1866, 5428, 12880, 0, 203, 2430, 12351, 42356, 115155, 268098, 0, 877, 14214, 88563, 355636, 1101705, 2869242, 6593839, 0, 4140, 89918, 681870, 3188340, 11202680, 32510850, 82187658, 187104200

Offset: 0

Author

Peter Luschny, Dec 22 2021

Keywords

• nonn
• tabl

Examples

			Triangle begins:
[0] 1
[1] 0,    1
[2] 0,    2,     6
[3] 0,    5,    22,     57
[4] 0,   15,    94,    309,     756
[5] 0,   52,   454,   1866,    5428,    12880
[6] 0,  203,  2430,  12351,   42356,   115155,   268098
[7] 0,  877, 14214,  88563,  355636,  1101705,  2869242,  6593839
[8] 0, 4140, 89918, 681870, 3188340, 11202680, 32510850, 82187658, 187104200
		

Crossrefs

Cf. A242817 (main diagonal), A000110 (column 1), A350264 (row sums), A350263 (Bell(n,-k)), A189233 and A292860 (array).

Programs

Maple

A350256 := (n, k) -> ifelse(n = 0, 1, BellB(n, k)):
seq(seq(A350256(n, k), k = 0..n), n = 0..8);

Mathematica

T[n_, k_] := BellB[n, k]; Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten