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 A003984 Table of max(x,y), where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),... 4
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA From  Franklin T. Adams-Watters, Feb 06 2006: (Start) G.f.: (x+y-3xy+x^2 y^2)/((1-x)^2 (1-y)^2 (1-xy)). T(n,m) = n + m - min(n,m); a(n) = A003056(n) - A004197(n). (End) a(n) = (1/2)*(t - 1 + abs(t^2 - 2*n - 1)), where t = floor(sqrt(2*n+1)+1/2). - Ridouane Oudra, May 03 2019 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. Antidiagonal sums are in A001859. Sequence in context: A079056 A231205 A341839 * A087061 A344838 A344835 Adjacent sequences:  A003981 A003982 A003983 * A003985 A003986 A003987 KEYWORD tabl,nonn AUTHOR STATUS approved

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Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)