id:A068195 - OEIS Search Results

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Numbers of the form n(n+1)/2 whose only representation as a sum of 2 or more consecutive positive integers is 1+2+...+n.

+0
3

1, 3, 6, 10, 28, 136, 496, 8128, 32896, 33550336, 2147516416, 8589869056, 137438691328, 2305843008139952128, 2658455991569831744654692615953842176 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Consists of 1, even perfect numbers and numbers of the form n(n+1)/2 where n+1 is a Fermat prime. (See A068194 for proof.)`
	LINKS	`Jon Perry, Erdos-Moser`
	CROSSREFS	`Cf. A000396, A000668, A019434, A068194.` `Record values in A082184.` `Sequence in context: A068866 A110891 A115887 this_sequence A080506 A109163 A109490` `Adjacent sequences: A068192 A068193 A068194 this_sequence A068196 A068197 A068198`
	KEYWORD	`nonn`
	AUTHOR	`Jon Perry (perry(AT)globalnet.co.uk), Feb 19 2002`
	EXTENSIONS	`Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 22 2002`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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