OFFSET
1,25
COMMENTS
Row sums: {1, 2, 3, 4, 5, 6, 8, 10, 13, 16, 20, ...}. [Is this A186445 or A080078? - N. J. A. Sloane, Feb 10 2013]
The A003269 sequence is pushed back twice, so that the triangle is not almost all ones.
FORMULA
a(n) = a(n-1) + a(n-4); t(n,m) = a(m) if m <= floor(n/2), a(n-m) otherwise.
EXAMPLE
{1},
{1, 1},
{1, 1, 1},
{1, 1, 1, 1},
{1, 1, 1, 1, 1},
{1, 1, 1, 1, 1, 1},
{1, 1, 1, 2, 1, 1, 1},
{1, 1, 1, 2, 2, 1, 1, 1},
{1, 1, 1, 2, 3, 2, 1, 1, 1},
{1, 1, 1, 2, 3, 3, 2, 1, 1, 1},
{1, 1, 1, 2, 3, 4, 3, 2, 1, 1, 1}
MATHEMATICA
Clear[a]; a[ -2] = 0; a[ -1] = 1; a[0] = 1; a[1] = 1; a[n_] := a[n] = a[n - 1] + a[n - 4]; (* A003269 *) Table[If[m <= Floor[n/2], a[m], a[n-m] ] , {n, 0, 10}, {m, 0, n}]
CROSSREFS
KEYWORD
AUTHOR
Roger L. Bagula and Gary W. Adamson, May 31 2008
EXTENSIONS
Non-ASCII characters removed and Mathematica code corrected by Wouter Meeussen, Feb 10 2013
STATUS
approved