id:A058266 - OEIS Search Results

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An approximation to sigma_{1/2}(n): floor( sum_{ d divides n } sqrt(d) ).

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1, 2, 2, 4, 3, 6, 3, 7, 5, 7, 4, 12, 4, 8, 8, 11, 5, 13, 5, 14, 9, 10, 5, 19, 8, 11, 10, 16, 6, 21, 6, 16, 11, 12, 11, 25, 7, 12, 12, 23, 7, 24, 7, 19, 18, 13, 7, 30, 10, 19, 13, 20, 8, 26, 13, 26, 14, 15, 8, 39, 8, 15, 20, 24, 14, 28, 9, 22, 15, 28, 9, 41, 9 (list; graph; listen)

	OFFSET	`1,2`
	MAPLE	`with(numtheory); f := proc(n) local d, t1, t2; t2 := 0; t1 := divisors(n); for d in t1 do t2 := t2 + sqrt(d) end do; t2 end proc; # exact value of sigma_{1/2}(n)` `with(numtheory):seq(floor(sigma[1/2](n)), n=1..80);`
	CROSSREFS	`Cf. A086671.` `Sequence in context: A122811 A089173 A126090 this_sequence A138664 A140357 A089265` `Adjacent sequences: A058263 A058264 A058265 this_sequence A058267 A058268 A058269`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.

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