id:A130690 - OEIS Search Results

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Number of partitions of n such that the largest part is coprime to every other part.

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1, 1, 2, 3, 4, 6, 7, 11, 13, 18, 22, 32, 37, 53, 63, 82, 102, 135, 161, 211, 253, 320, 388, 491, 587, 735, 884, 1088, 1309, 1609, 1922, 2351, 2808, 3401, 4062, 4899, 5828, 7013, 8326, 9955, 11800, 14074, 16627, 19760, 23300, 27575, 32450, 38296, 44935, 52876 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: Sum_{n>=0} x^n/Product_{d \| gcd(n,d)=1} (1-x^d).`
	CROSSREFS	`Sequence in context: A111243 A108917 A113243 this_sequence A074885 A091336 A002235` `Adjacent sequences: A130687 A130688 A130689 this_sequence A130691 A130692 A130693`
	KEYWORD	`easy,nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 01 2007`

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

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