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URL: https://oeis.org/A168038

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A168038
Squares closest to 2*n.
2
0, 1, 4, 4, 9, 9, 9, 16, 16, 16, 16, 25, 25, 25, 25, 25, 36, 36, 36, 36, 36, 36, 49, 49, 49, 49, 49, 49, 49, 64, 64, 64, 64, 64, 64, 64, 64, 81, 81, 81, 81, 81, 81, 81, 81, 81, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 121, 121, 121, 121, 121, 121, 121, 121, 121
OFFSET
0,3
LINKS
FORMULA
a(n) = A002024(n)^2. - Chai Wah Wu, Jun 19 2024
MATHEMATICA
Round[Sqrt[2*Range[0, 120]]]^2
PROG
(Python)
from math import isqrt
def A168038(n): return (isqrt(n<<3)+1>>1)**2 # Chai Wah Wu, Jun 19 2024
CROSSREFS
Essentially partial sums of A198954.
Sequence in context: A011364 A016713 A343620 * A093995 A168280 A162564
KEYWORD
nonn
AUTHOR
Zak Seidov, Nov 17 2009
STATUS
approved