id:A088898 - OEIS Search Results

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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.

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1, 3, 9, 5, 15, 25, 7, 21, 31, 45, 9, 27, 41, 59, 69, 11, 33, 51, 69, 87, 109, 13, 39, 61, 83, 105, 127, 145, 15, 41, 67, 93, 119, 141, 171, 193, 17, 47, 77, 103, 137, 159, 193, 219, 249, 19, 53, 87, 117, 147, 181, 215, 241, 275, 305, 21, 59, 97, 131, 165, 203 (list; table; graph; listen)

	OFFSET	`1,2`
	COMMENT	`T(n,k) = number of inner lattice points of an ellipse with semimajor axis = n, semiminor axis = k and center = (0,0).` `a(n) = A088897(n) - A088899(n);` `T(n,n) = A051132(n).`
	LINKS	`Eric Weisstein's World of Mathematics, Ellipse`
	CROSSREFS	`Sequence in context: A064471 A054509 A134001 this_sequence A143218 A103934 A077384` `Adjacent sequences: A088895 A088896 A088897 this_sequence A088899 A088900 A088901`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 21 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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