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A125028 a(1)=2, a(n)=2*a(n-1)-floor(sqrt(a(n-1))). +0
1
2, 3, 5, 8, 14, 25, 45, 84, 159, 306, 595, 1166, 2298, 4549, 9031, 17967, 35800, 71411, 142555, 284733, 568933, 1137112, 2273158, 4544809, 9087487, 18171960, 36339658, 72673288, 145338052, 290664049, 581311050 (list; graph; listen)
OFFSET

1,1

COMMENT

For any a(1)>1, a(n)/a(n-1)=>2; for large n's, a(n)=>c*2^n with c depending on a(1)>1; for a(1)=2 c=0.270675.

MATHEMATICA

NestList[2#-Floor[Sqrt[ # ]]&, 2, 30]

CROSSREFS

Sequence in context: A107480 A128021 A036241 this_sequence A119262 A062178 A065955

Adjacent sequences: A125025 A125026 A125027 this_sequence A125029 A125030 A125031

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Nov 16 2006

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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