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A183301
Complement of A014105.
2
1, 2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 86
OFFSET
1,2
FORMULA
a(n) = n + floor(sqrt((n-1)/2)) = n + A339183(n-1). - Aaron J Grech, Jul 30 2024
MATHEMATICA
a=2; b=1;
F[n_]:=a*n^2+b*n;
R[n_]:=(n/a+((b-1)/(2a))^2)^(1/2);
G[n_]:=n-1+Ceiling[R[n]-(b-1)/(2a)];
Table[G[n], {n, 100}]
PROG
(Python)
from math import isqrt
def A183301(n): return n+isqrt(n-1>>1) # Chai Wah Wu, Nov 04 2024
CROSSREFS
Sequence in context: A039166 A026485 A294662 * A308065 A047318 A057904
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jan 03 2011
STATUS
approved