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

0,2

Comments

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

Links

Table of n, a(n) for n=0..46.

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.

Example

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

Crossrefs

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

Sequence in context: A185420 A167432 A201639 * A135891 A049459 A143493

Adjacent sequences: A078936 A078937 A078938 * A078940 A078941 A078942

Keyword

nonn,tabl

Author

Paul D. Hanna, Dec 18 2002

Status

approved