id:A105603 - OEIS Search Results

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Sylvester-Jacobsthal cyclotomic numbers.

+0
3

1, 1, 3, 5, 11, 7, 43, 17, 57, 31, 683, 13, 2731, 127, 331, 257, 43691, 73, 174763, 205, 5419, 2047, 2796203, 241, 1016801, 8191, 261633, 3277, 178956971, 151, 715827883, 65537, 1397419, 131071, 24214051, 4033, 45812984491, 524287, 22366891, 61681 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Primitive parts of Jacobsthal numbers A001045.`
	LINKS	`Eric Weisstein's World of Mathematics, Sylvester Cyclotomic Number.`
	FORMULA	`a(n)=product{k=1..n-1, if(gcd(n, k)=1, 2+exp(2piI*k/n), 1)}, I=sqrt(-1)`
	CROSSREFS	`Cf. A020501.` `Sequence in context: A087322 A094747 A129738 this_sequence A122133 A065019 A071328` `Adjacent sequences: A105600 A105601 A105602 this_sequence A105604 A105605 A105606`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 15 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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