id:A067085 - OEIS Search Results

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Floor[ sum 1..n {1/k^(1/2)}].

+0
2

1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`A well known inequality is 2n^1/2 - 2 < b(n) < 2n^1/2 - 1`
	EXAMPLE	`a(4) = floor [ 1+ 1/sqrt(2) + 1/ sqrt(3) + 1/ sqrt(4) ] = [2.78445705037617328890999314260681] = 2`
	MATHEMATICA	`Table[ Floor[ Sum[1/k^(1/2), {k, 1, n} ]], {n, 1, 75} ]`
	CROSSREFS	`Sequence in context: A048686 A090501 A126848 this_sequence A055086 A001462 A082462` `Adjacent sequences: A067082 A067083 A067084 this_sequence A067086 A067087 A067088`
	KEYWORD	`easy,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 07 2002`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 09 2002`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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