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A088897 T(n,k) = number of ordered pairs of integers (x,y) with x^2/n^2 + y^2/k^2 <= 1, 1<=k<=n; triangular array, read by rows. +0
3
5, 7, 13, 9, 19, 29, 11, 25, 35, 49, 13, 31, 45, 63, 81, 15, 37, 55, 73, 91, 113, 17, 43, 65, 87, 109, 131, 149, 19, 45, 71, 97, 123, 145, 175, 197, 21, 51, 81, 107, 141, 163, 197, 223, 253, 23, 57, 91, 121, 159, 185, 219, 245, 279, 317, 25, 63, 101, 135, 169 (list; table; graph; listen)
OFFSET

1,1

COMMENT

T(n,k) = number of lattice points covered by an ellipse with semimajor axis = n, semiminor axis = k, and center = (0,0).

a(n) = A088898(n) + A088899(n);

T(n,n) = A000328(n).

LINKS

Eric Weisstein's World of Mathematics, Ellipse

CROSSREFS

Sequence in context: A011984 A063187 A105054 this_sequence A074755 A002659 A050079

Adjacent sequences: A088894 A088895 A088896 this_sequence A088898 A088899 A088900

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 21 2003

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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