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Search: id:A002984
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| A002984 |
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a(0) = 1; for n>0, a(n) = a(n-1) + [ sqrt a(n-1) ].
(Formerly M0554)
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+0
7
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| 1, 2, 3, 4, 6, 8, 10, 13, 16, 20, 24, 28, 33, 38, 44, 50, 57, 64, 72, 80, 88, 97, 106, 116, 126, 137, 148, 160, 172, 185, 198, 212, 226, 241, 256, 272, 288, 304, 321, 338, 356, 374, 393, 412, 432, 452, 473, 494, 516, 538, 561, 584, 608, 632, 657, 682, 708, 734
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n>3 we have a(n) < n^2/4 and for n>44 we have a(n) > n^2/5. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 17 2006
This sequence contains an infinity of squares . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 03 2009]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
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MATHEMATICA
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NestList[ # + Floor[ Sqrt[ # ] ] &, 1, 50 ]
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CROSSREFS
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Sequence in context: A008748 A089649 A049700 this_sequence A109965 A008669 A055104
Adjacent sequences: A002981 A002982 A002983 this_sequence A002985 A002986 A002987
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Dec 14 2000
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