OFFSET
1,1
REFERENCES
N. Wirth, Algorithmen und Datenstrukturen, 1975, table 2.15 (ch. 2.3.4)
LINKS
T. D. Noe, Rows n=1..50 of triangle, flattened
EXAMPLE
2, 3, 5, 8 ... first order, a(1)=2, a(3)=3, a(6)=5, a(10)=8, ...
3, 5, 9,17 ... 2nd order, a(2)=3, a(5)=5, a(9)=9, ...
4, 7,13,25 ... 3rd order, a(4)=4, a(8)=7, ...
5, 9,17,33 ... 4th order, a(7)=5, ...
MATHEMATICA
max = 12; Clear[f]; f[k_, n_] /; n > k := f[k, n] = Sum[f[k, n - j], {j, 1, k + 1}]; f[k_, n_] = 1; t = Table[ Table[ f[k, n], {n, k + 1, max}], {k, 1, max}]; Table[ t[[k - n + 1, n]], {k, 1, max - 1}, {n, 1, k}] // Flatten (* Jean-François Alcover, Apr 10 2013 *)
CROSSREFS
KEYWORD
AUTHOR
Frank Ellermann, Jun 11 2001
STATUS
approved