A003984 Table of max(x,y), where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...

0, 1, 1, 2, 1, 2, 3, 2, 2, 3, 4, 3, 2, 3, 4, 5, 4, 3, 3, 4, 5, 6, 5, 4, 3, 4, 5, 6, 7, 6, 5, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 6, 7, 8, 9, 10, 11, 10, 9, 8, 7, 6, 6, 7, 8, 9, 10, 11, 12, 11, 10, 9, 8, 7, 6, 7, 8, 9, 10, 11, 12, 13, 12, 11, 10, 9, 8, 7, 7, 8, 9, 10, 11, 12, 13

Offset

0,4

Links

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

Formula

From Franklin T. Adams-Watters, Feb 06 2006: (Start)

G.f.: (x+y-3*x*y+x^2*y^2)/((1-x)^2*(1-y)^2*(1-x*y)).

T(n,m) = n + m - min(n,m); a(n) = A003056(n) - A004197(n). (End)

a(n) = (A003056(n) + A049581(n))/2. - Ridouane Oudra, Oct 01 2025

Example

Top left corner of array:
  0 1 2 3
  1 1 2 3
  2 2 2 3
  3 3 3 3

Crossrefs

Cf. A051125, A003056, A004197, A049581.

Antidiagonal sums are in A001859.

Sequence in context: A341839 A366509 A231205 * A087061 A393159 A344838

Adjacent sequences: A003981 A003982 A003983 * A003985 A003986 A003987

Keyword

nonn,tabl,easy

Author

Marc LeBrun

Status

approved