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A213077
a(n) = round(n^2 - sqrt(n)).
1
0, 0, 3, 7, 14, 23, 34, 46, 61, 78, 97, 118, 141, 165, 192, 221, 252, 285, 320, 357, 396, 436, 479, 524, 571, 620, 671, 724, 779, 836, 895, 955, 1018, 1083, 1150, 1219, 1290, 1363, 1438, 1515, 1594, 1675, 1758, 1842, 1929, 2018, 2109, 2202, 2297, 2394
OFFSET
0,3
LINKS
EXAMPLE
0^2 - sqrt(0) = 0;
1^2 - sqrt(1) = 0;
2^2 - sqrt(2) = 3,
3^2 - sqrt(3) = 7;
4^2 - sqrt(4) = 14.
MAPLE
seq(round(n^2-sqrt(n)), n=0..100); # Robert Israel, Jul 29 2022
MATHEMATICA
Table[Round[n^2 - Sqrt[n]], {n, 0, 100}] (* T. D. Noe, Jun 06 2012 *)
PROG
(Python)
count = 0
while count < 50:
ns = count * count
ns = ns - math.sqrt(count)
ns = round(ns)
print(ns, end=', ')
count += 1
(Python)
from math import isqrt
def A213077(n): return n**2-(m:=isqrt(n))-int((n-m*(m+1)<<2)>=1) # Chai Wah Wu, Jul 29 2022
CROSSREFS
Cf. A056847.
Sequence in context: A146931 A176675 A377122 * A294400 A115285 A004232
KEYWORD
nonn
AUTHOR
Ian Stewart, Jun 04 2012
STATUS
approved