A282745 Irregular triangle read by rows, giving coefficients arising when solving g(n) = f(n)+ f(n-1) + f(n-2) + f(n-3) + f(n-4) for f(n).

0, 1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 0, 6, 5, 1, 0, 7, 6, 2, 1, 8, 7, 3, 2, 9, 8, 4, 3, 10, 9, 5, 4, 0, 11, 10, 6, 5, 1, 0, 12, 11, 7, 6, 2, 1, 13, 12, 8, 7, 3, 2, 14, 13, 9, 8, 4, 3, 15, 14, 10, 9, 5, 4, 0, 16, 15, 11, 10, 6, 5, 1, 0, 17, 16, 12, 11, 7, 6, 2, 1, 18, 17, 13, 12, 8, 7, 3, 2, 19, 18, 14, 13, 9, 8, 4, 3, 20, 19, 15, 14, 10, 9, 5, 4, 0

Offset

0,4

Links

Table of n, a(n) for n=0..104.

H. W. Gould, The inverse of a finite series and a third-order recurrent sequence, Fibonacci Quart. 44 (2006), no. 4, 302-315. Note that there is a typo in line 2 of Table 4.

Example

Triangle begins:
0,
1,0,
2,1,
3,2,
4,3,
5,4,0,
6,5,1,0,
7,6,2,1,
8,7,3,2,
9,8,4,3,
10,9,5,4,0,
11,10,6,5,1,0,
12,11,7,6,2,1,
13,12,8,7,3,2,
14,13,9,8,4,3,
15,14,10,9,5,4,0,
16,15,11,10,6,5,1,0,
17,16,12,11,7,6,2,1,
18,17,13,12,8,7,3,2,
...

Crossrefs

Cf. A282743, A282744.

Sequence in context: A289439 A213633 A289436 * A097140 A028242 A030451

Adjacent sequences: A282742 A282743 A282744 * A282746 A282747 A282748

Keyword

nonn,tabf

Author

N. J. A. Sloane, Mar 04 2017

Status

approved