A078939 Fourth power of lower triangular matrix of A056857 (successive equalities in set partitions of n).

1, 4, 1, 20, 8, 1, 116, 60, 12, 1, 756, 464, 120, 16, 1, 5428, 3780, 1160, 200, 20, 1, 42356, 32568, 11340, 2320, 300, 24, 1, 355636, 296492, 113988, 26460, 4060, 420, 28, 1, 3188340, 2845088, 1185968, 303968, 52920, 6496, 560, 32, 1, 30333492, 28695060

Offset: 0

Author

Paul D. Hanna, Dec 18 2002

Keywords

• nonn
• tabl

Comments

First column gives A078944. Row sums are given by A078945.

Examples

			Rows: {1}, {4,1}, {20,8,1}, {116,60,12,1}, {756,464,120,16,1}, ...
		

Crossrefs

Cf. A056857, A078937, A078938, A078944, A078945.

Formula

Exponential function of 4*Pascal's triangle (taken as a lower triangular matrix) divided by e^4: [A078939] = (1/e^4)*exp(4*[A007318]) = [A056857]^4.