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 A006591 Sum_{k = 1..n } nearest integer to n/k (if n/k is midway between two numbers take the smaller). (Formerly M2434) 0
 1, 3, 5, 8, 11, 14, 17, 22, 24, 28, 33, 36, 40, 45, 48, 53, 57, 62, 66, 71, 74, 79, 86, 89, 93, 99, 102, 109, 114, 117, 122, 129, 133, 138, 143, 148, 152, 159, 164, 169, 175, 178, 185, 190, 193, 202, 207, 212, 215, 223, 227, 232, 241, 244, 249, 256, 259, 266, 273 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Marc LeBrun, personal communication. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS M. Le Brun, Email to N. J. A. Sloane, Jul 1991 EXAMPLE a(3) = 3 + 1 + 1 = 5. a(7) = 17 = 7 + 3 + 2 + 2 + 1 + 1 + 1. MATHEMATICA rnd[n_] := If[Mod[n, 1] > .5, Ceiling[n], Floor[n]]; Table[ Sum[ rnd[ n/k], {k, 1, n} ], {n, 1, 70} ] CROSSREFS Cf. A006218. Sequence in context: A094228 A278586 A001855 * A310027 A310028 A287414 Adjacent sequences:  A006588 A006589 A006590 * A006592 A006593 A006594 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Robert G. Wilson v, Oct 22 2001 STATUS approved

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Last modified April 10 22:17 EDT 2021. Contains 342856 sequences. (Running on oeis4.)