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A182558
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a(n) = a(n-1)*2 - floor(sqrt(a(n-2))).
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1
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0, 1, 2, 3, 5, 9, 16, 29, 54, 103, 199, 388, 762, 1505, 2983, 5928, 11802, 23528, 46948, 93743, 187270, 374234, 748036, 1495461, 2990058, 5978894, 11956059, 23909673, 47815889, 95626889, 191246864, 382483950, 764954071, 1529888585, 3059749513
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0)=0, a(1)=1, a(n) = a(n-1)*2 - floor(sqrt(a(n-2))).
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MATHEMATICA
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nxt[{a_, b_}]:={b, 2b-Floor[Sqrt[a]]}; NestList[nxt, {0, 1}, 40][[All, 1]] (* Harvey P. Dale, Apr 29 2017 *)
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PROG
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(Python)
import math
prpr = 0
prev = 1
for n in range(55):
. current = prev*2 - int(math.sqrt(prpr))
. print prpr,
. prpr = prev
. prev = current
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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