|
| |
|
|
A067085
|
|
Floor[ sum 1..n {1/k^(1/2)}].
|
|
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, 16, 16, 16, 16, 16
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
|
|
|
FORMULA
| A well known inequality is 2*n^1/2 - 2 < b(n) < 2*n^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} ]
|
|
|
PROG
| (PARI) { s=0; for (n=1, 1000, s+=1/n^(1/2); write("b067085.txt", n, " ", floor(s)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2010]
|
|
|
CROSSREFS
| Sequence in context: A048686 A090501 A126848 * A055086 A001462 A082462
Adjacent sequences: A067082 A067083 A067084 * 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
Terms added by Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2010
|
| |
|
|
