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).

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

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,
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

Cf. A282743, A282745.

Sequence in context: A351594 A185314 A285120 * A195310 A051282 A274121

Adjacent sequences: A282741 A282742 A282743 * A282745 A282746 A282747

Keyword

nonn,tabf

Author

N. J. A. Sloane, Mar 04 2017

Extensions

More terms from Lars Blomberg, Mar 05 2017

Status

approved