A121909 S-D transform of factorial numbers A000142.

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

Offset: 0

Author

Philippe Deléham, Sep 01 2006

Keywords

• nonn

Examples

			Row 1 : 1, 1, 2, 6, 24, 120, ...(A000142)
Row 2 : 1+1=2, 2-1=1, 6+2=8, 24-6=18, 120+24=144, ...
Row 3 : 1+2=3, 9-1=7, 18+8=26, 144-18=126, ...
Row 4 : 7+3=10, 26-7=19, 126+26=152, ...
Row 5 : 19+10=29, 152-19=133, ...
Row 6 : 133+29=162, ...
First term of each row form this sequence.
		

Formula

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