A078939 - OEIS

%I #3 Mar 30 2012 18:36:32

%S 1,4,1,20,8,1,116,60,12,1,756,464,120,16,1,5428,3780,1160,200,20,1,

%T 42356,32568,11340,2320,300,24,1,355636,296492,113988,26460,4060,420,

%U 28,1,3188340,2845088,1185968,303968,52920,6496,560,32,1,30333492,28695060

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

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

%F 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.

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

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

%K nonn,tabl

%O 0,2

%A _Paul D. Hanna_, Dec 18 2002