A140302 b(n)=A000749(n+1)-2*A000749(n)=0, 0, 1, 2, 2, 0, -4, -8, -8, = 0, A009545 and its three differences by columns on line.

0, 0, 1, -1, 0, 1, 0, -1, 1, 1, -1, -1, 2, 0, -2, 0, 2, -2, -2, 2, 0, -4, 0, 4, -4, -4, 4, 4, -8, 0, 8, 0, -8, 8, 8, -8, 0, 16, 0, -16, 16, 16, -16, -16, 32, 0, -32, 0, 32, -32, -32, 32, 0, -64, 0, 64, -64, -64, 64, 64

Offset: 0

Author

Paul Curtz, May 27 2008

Keywords

• sign
• uned

Comments

A009545 is principal sequence of degenerate case a(n)=2a(n-1)-2a(n-2), which means second differences opposite to the sequence, for generally a(n)=4a(n-1)-6a(n-2)+4a(n-3) which here holds without restriction.

Formula

Rectangle (vertical sums = 0): 0, 0, 1, 2, 2; 0, 1, 1, 0, -2; 1, 0, -1, -2, -2; -1, -1 -1, 0, 2;