login
A282744
Irregular triangle read by rows, giving coefficients arising when solving g(n) = f(n)+ f(n-1) + f(n-2) + f(n-3) for f(n).
3
0, 1, 0, 2, 1, 3, 2, 4, 3, 0, 5, 4, 1, 0, 6, 5, 2, 1, 7, 6, 3, 2, 8, 7, 4, 3, 0, 9, 8, 5, 4, 1, 0, 10, 9, 6, 5, 2, 1, 11, 10, 7, 6, 3, 2, 12, 11, 8, 7, 4, 3, 0, 13, 12, 9, 8, 5, 4, 1, 0, 14, 13, 10, 9, 6, 5, 2, 1, 15, 14, 11, 10, 7, 6, 3, 2, 16, 15, 12, 11, 8
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,
4,3,0,
5,4,1,0,
6,5,2,1,
7,6,3,2,
8,7,4,3,0,
9,8,5,4,1,0,
10,9,6,5,2,1,
11,10,7,6,3,2,
12,11,8,7,4,3,0,
13,12,9,8,5,4,1,0,
14,13,10,9,6,5,2,1
15,14,11,10,7,6,3,2
16,15,12,11,8,7,4,3,0
...
CROSSREFS
Sequence in context: A351594 A185314 A285120 * A195310 A051282 A274121
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Mar 04 2017
EXTENSIONS
More terms from Lars Blomberg, Mar 05 2017
STATUS
approved