A078939 - OEIS

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

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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