id:A056647 - OEIS Search Results

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Largest unitary square divisor of central binomial coefficient.

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1, 1, 1, 1, 1, 4, 1, 1, 9, 36, 1, 4, 4, 1, 9, 9, 1, 4, 1, 4, 4, 1, 1, 4, 100, 25, 100, 25, 9, 144, 9, 9, 1, 4, 25, 100, 100, 25, 9, 36, 4, 1, 4, 1, 25, 400, 225, 900, 1764, 441, 196, 49, 49, 784, 4, 1, 1, 16, 1, 16, 16, 4, 441, 441, 49, 196, 49, 196, 36, 9, 1, 4, 4, 1, 100, 25, 1225 (list; graph; listen)

	OFFSET	`1,6`
	FORMULA	`a(n)=A008833[A001405(n)]/A055229[A001405(n)]^2= A056057(n)/A056059(n)^2`
	EXAMPLE	`n=28, Binomial[28,14]=2.2.2.3.3.3.5.5.17.19.23. Its largest square divisor is 900, while a(28)=900/6^2=25 is the unitary analog, the largest unitary square divisor.`
	CROSSREFS	`A000188, A001405, A055229, A056056, A056057, A056059, A008833.` `Sequence in context: A126065 A126062 A157108 this_sequence A056057 A016520 A109955` `Adjacent sequences: A056644 A056645 A056646 this_sequence A056648 A056649 A056650`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Aug 09 2000`

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

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