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A341239 a(n) = floor(r*floor(s*n)), where r = 1 + sqrt(2) and s = sqrt(2). 3
2, 4, 9, 12, 16, 19, 21, 26, 28, 33, 36, 38, 43, 45, 50, 53, 57, 60, 62, 67, 70, 74, 77, 79, 84, 86, 91, 94, 98, 101, 103, 108, 111, 115, 118, 120, 125, 127, 132, 135, 137, 142, 144, 149, 152, 156, 159, 161, 166, 168, 173, 176, 178, 183, 185, 190, 193, 197 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecture:  1 < r*s*n - a(n) < 3 for n >= 1.

LINKS

Table of n, a(n) for n=1..58.

FORMULA

a(n) = floor(r*floor(s*n)), where r = 1 + sqrt(2) and s = sqrt(2).

MATHEMATICA

z = 140; r = 1 + Sqrt[2]; s = Sqrt[2]; f[x_] := Floor[r*Floor[s*x]];

Table[f[n], {n, 1, z}]

CROSSREFS

Cf. A184922, A341240.

Sequence in context: A298823 A219114 A182859 * A088901 A283147 A111302

Adjacent sequences:  A341236 A341237 A341238 * A341240 A341241 A341242

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 07 2021

STATUS

approved

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Last modified July 26 17:37 EDT 2021. Contains 346294 sequences. (Running on oeis4.)