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A282743
Irregular triangle read by rows, giving coefficients arising when solving g(n) = f(n)+ f(n-1) + f(n-2) for f(n).
3
0, 1, 0, 2, 1, 3, 2, 0, 4, 3, 1, 0, 5, 4, 2, 1, 6, 5, 3, 2, 0, 7, 6, 4, 3, 1, 0, 8, 7, 5, 4, 2, 1, 9, 8, 6, 5, 3, 2, 0, 10, 9, 7, 6, 4, 3, 1, 0, 11, 10, 8, 7, 5, 4, 2, 1, 12, 11, 9, 8, 6, 5, 3, 2, 0, 13, 12, 10, 9, 7, 6, 4, 3, 1, 0, 14, 13, 11, 10, 8, 7, 5, 4
OFFSET
0,4
LINKS
H. W. Gould, The inverse of a finite series and a third-order recurrent sequence, Fibonacci Quart. 44 (2006), no. 4, 302-315.
EXAMPLE
Triangle begins:
0,
1,0,
2,1,
3,2,0,
4,3,1,0,
5,4,2,1,
6,5,3,2,0,
7,6,4,3,1,0,
8,7,5,4,2,1,
9,8,6,5,3,2,0,
10,9,7,6,4,3,1,0,
11,10,8,7,5,4,2,1
12,11,9,8,6,5,3,2,0
13,12,10,9,7,6,4,3,1,0
14,13,11,10,8,7,5,4,2,1
...
CROSSREFS
Sequence in context: A333452 A190451 A373891 * A191360 A144029 A347030
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Mar 04 2017
EXTENSIONS
More terms from Lars Blomberg, Mar 05 2017
STATUS
approved