id:A075880 - OEIS Search Results

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Position of the circles around (0,0) that contain record numbers of lattice points in the list of all circles around (0,0) that pass through lattice points, ordered by increasing radius.

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1, 4, 13, 30, 121, 362, 1232, 1584, 7121, 17548, 32649, 37603, 174926, 437750, 821432, 1198677, 5678338, 14335447, 27044791, 43735981, 209473053, 531787054, 1006745669, 2097411347, 8474384496, 10122355701 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`The first terms of this sequence were given by James Buddenhagen in a sci.math posting on May 05 2002 entitled "Circle with 3 lattice points"`
	LINKS	`James Buddenhagen, Circle with 3 lattice points, Thread in NG sci.math` `Hugo Pfoertner, Asymptotic Behavior of A075880(n)`
	FORMULA	`a(n) = k for which A001481(k) = A071383(n). lim n ->infinity a(n) = k_LR * exp(n) / n^(1/2), where k_LR is the Landau-Ramanujan constant 0.764223653... (A064533)`
	EXAMPLE	`a(3)=13 because A001481(13)=A071383(3)=25`
	CROSSREFS	`Cf. A001481, A064533, A071383.` `Adjacent sequences: A075877 A075878 A075879 this_sequence A075881 A075882 A075883` `Sequence in context: A041301 A138989 A071400 this_sequence A042487 A106302 A100136`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 16 2002`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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