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A139038
Triangle read by rows: T(n,m) = A000931(m+6) if m <= floor(n/2), A000931(n+6-m) otherwise, for 0 <= m <= n.
4
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 3, 2, 2, 1
OFFSET
0,13
COMMENTS
The Padovan sequence is pushed back to a(-1)=1, so that the triangle is not almost all ones.
EXAMPLE
The triangle begins:
1;
1, 1;
1, 1, 1;,
1, 1, 1, 1;
1, 1, 2, 1, 1;
1, 1, 2, 2, 1, 1;
1, 1, 2, 2, 2, 1, 1;
1, 1, 2, 2, 2, 2, 1, 1;
1, 1, 2, 2, 3, 2, 2, 1, 1;
1, 1, 2, 2, 3, 3, 2, 2, 1, 1;
1, 1, 2, 2, 3, 4, 3, 2, 2, 1, 1;
...
MATHEMATICA
a[-1] = 1; a[0] = 1; a[1] = 1; a[n_] := a[n] = a[n - 2] + a[n - 3]; (* Padovan : A000931 *)
Table[If[m <= Floor[n/2], a[m], a[n - m]], {n, 0, 10}, {m, 0, n}]
CROSSREFS
Sequence in context: A155052 A096284 A163100 * A322812 A259094 A306741
KEYWORD
nonn,tabl,less
AUTHOR
EXTENSIONS
Edited by N. J. A. Sloane, Feb 28 2009
Non-ASCII characters in %t line corrected by Wouter Meeussen, Feb 10 2013
Definition corrected and offset changed by Georg Fischer, May 16 2024
STATUS
approved