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A134009
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a(1) = 1; a(n+1) = round(sqrt(3)*a(n)).
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1
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1, 2, 3, 5, 9, 16, 28, 48, 83, 144, 249, 431, 747, 1294, 2241, 3882, 6724, 11646, 20171, 34937, 60513, 104812, 181540, 314437, 544621, 943311, 1633863, 2829934, 4901589, 8489801, 14704767, 25469404, 44114302, 76408212, 132342905, 229224635, 397028714
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(6) = 16 because a(5) is 9 and round(sqrt(3)*9) = 16.
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MATHEMATICA
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With[{c=Sqrt[3]}, NestList[Floor[c #+1/2]&, 1, 45]] (* Harvey P. Dale, May 03 2011 *)
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PROG
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(Python)
from gmpy2 import isqrt_rem
for _ in range(1000):
i, j = isqrt_rem(3*A134009_list[-1]**2)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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