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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),... +0
3
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; listen)
OFFSET

0,4

FORMULA

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). - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 06 2006

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.

Cf. A003056, A004197.

Antidiagonal sums are in A001859.

Sequence in context: A029309 A049819 A079056 this_sequence A087061 A082860 A098357

Adjacent sequences: A003981 A003982 A003983 this_sequence A003985 A003986 A003987

KEYWORD

tabl,nonn

AUTHOR

Marc LeBrun (mlb(AT)well.com)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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