login
Triangular array read by rows: related to A053445 and A060351 with row sums A000142 (which counts permutations of n objects).
0

%I #2 Mar 31 2012 13:23:38

%S 1,0,2,0,2,4,0,3,13,8,0,4,42,58,16,0,5,118,344,221,32

%N Triangular array read by rows: related to A053445 and A060351 with row sums A000142 (which counts permutations of n objects).

%C A060351 relates permutations to numeric partitions. Diagonal 1 2 4 8 16 32 ... A000079 sums triangle A007318 and is related to hook partitions. Diagonal 2 13 58 221 ... sums 2 10 34 98 ... related to partition 2+2 3 20 85 ... related to 3+3 4 33 ... related to 4+4 5 ... related to 5+5 etc.

%e The array begins

%e 1

%e 0 2

%e 0 2 4

%e 0 3 13 8

%e 0 4 42 58 16

%e 0 5 118 344 221 32

%Y Cf. A000041 A000142 A053445 A059797 A060351 A091307.

%K nonn,tabl

%O 1,3

%A _Alford Arnold_, Jan 13 2007