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A003984
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Table of max(x,y), where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...
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4
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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
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..99.
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FORMULA
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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
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EXAMPLE
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Top left corner of array:
0 1 2 3
1 1 2 3
2 2 2 3
3 3 3 3
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CROSSREFS
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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
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KEYWORD
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tabl,nonn
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AUTHOR
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Marc LeBrun
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STATUS
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approved
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