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A184619
a(n) = floor((n-h)*s+h), where s=2+sqrt(2) and h=1/3; complement of A184618.
3
2, 6, 9, 12, 16, 19, 23, 26, 29, 33, 36, 40, 43, 46, 50, 53, 57, 60, 64, 67, 70, 74, 77, 81, 84, 87, 91, 94, 98, 101, 105, 108, 111, 115, 118, 122, 125, 128, 132, 135, 139, 142, 146, 149, 152, 156, 159, 163, 166, 169, 173, 176, 180, 183, 186, 190, 193, 197, 200, 204, 207, 210, 214, 217, 221, 224, 227
OFFSET
1,1
LINKS
FORMULA
a(n) = floor((n-h)*s+h), where s=2+sqrt(2) and h=1/3.
MATHEMATICA
r=2^(1/2); h=1/3; s=r/(r-1);
Table[Floor[n*r+h], {n, 1, 120}] (* A184618 *)
Table[Floor[n*s+h-h*s], {n, 1, 120}] (* A184619 *)
PROG
(PARI) for(n=1, 100, print1(floor(n*sqrt(2)/(sqrt(2)-1) - sqrt(2)/(3*sqrt(2) - 3) + 1/3), ", ")) \\ G. C. Greubel, Apr 20 2018
(Magma) [Floor(n*Sqrt(2)/(Sqrt(2) - 1) - Sqrt(2)/(3*Sqrt(2) - 3) + 1/3): n in [1..100]]; // G. C. Greubel, Apr 20 2018
CROSSREFS
Cf. A184618.
Sequence in context: A187912 A186500 A190777 * A184119 A191873 A293789
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 18 2011
STATUS
approved