A282743 Irregular triangle read by rows, giving coefficients arising when solving g(n) = f(n)+ f(n-1) + f(n-2) for f(n).

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

Lars Blomberg, Table of n, a(n) for n = 0..10000

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

Cf. A282744, A282745.

Sequence in context: A333452 A190451 A373891 * A191360 A144029 A347030

Adjacent sequences: A282740 A282741 A282742 * A282744 A282745 A282746

Keyword

nonn,tabf

Author

N. J. A. Sloane, Mar 04 2017

Extensions

More terms from Lars Blomberg, Mar 05 2017

Status

approved