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S-D transform of factorial numbers A000142.
0

%I #4 Sep 08 2013 13:30:54

%S 1,2,3,10,29,162,799

%N S-D transform of factorial numbers A000142.

%F a(n)=Sum{k, 0<=k<=n}A051159(n,k)*A000142(k).

%e Row 1 : 1, 1, 2, 6, 24, 120, ...(A000142)

%e Row 2 : 1+1=2, 2-1=1, 6+2=8, 24-6=18, 120+24=144, ...

%e Row 3 : 1+2=3, 9-1=7, 18+8=26, 144-18=126, ...

%e Row 4 : 7+3=10, 26-7=19, 126+26=152, ...

%e Row 5 : 19+10=29, 152-19=133, ...

%e Row 6 : 133+29=162, ...

%e First term of each row form this sequence.

%K nonn

%O 0,2

%A _Philippe Deléham_, Sep 01 2006