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A184580 a(n) = floor((n-1/4)*sqrt(2)), complement of A184581. 4
1, 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 32, 33, 35, 36, 37, 39, 40, 42, 43, 44, 46, 47, 49, 50, 51, 53, 54, 56, 57, 59, 60, 61, 63, 64, 66, 67, 68, 70, 71, 73, 74, 76, 77, 78, 80, 81, 83, 84, 85, 87, 88, 90, 91, 92, 94, 95, 97, 98, 100, 101, 102, 104, 105, 107, 108, 109, 111, 112, 114, 115, 117, 118, 119, 121, 122, 124, 125, 126, 128, 129, 131, 132, 133, 135, 136, 138, 139, 141, 142, 143, 145, 146, 148, 149, 150, 152, 153, 155, 156, 158, 159, 160, 162, 163, 165, 166, 167, 169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = floor[(n-1/4)*sqrt(2)].

MATHEMATICA

r=2^(1/2); c=1/4; s=r/(r-1);

Table[Floor[n*r-c*r], {n, 1, 120}]  (* this sequence *)

Table[Floor[n*s+c*s], {n, 1, 120}]  (* A184581 *)

PROG

(PARI) for(n=1, 30, print1(floor((n-1/4)*sqrt(2)), ", ")) \\ G. C. Greubel, Jan 27 2018

(MAGMA) [Floor((n-1/4)*Sqrt(2)): n in [1..30]]; // G. C. Greubel, Jan 27 2018

CROSSREFS

Cf. A184581.

Sequence in context: A047333 A032796 A087057 * A184622 A195129 A167389

Adjacent sequences:  A184577 A184578 A184579 * A184581 A184582 A184583

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 17 2011

EXTENSIONS

Edited by Clark Kimberling, Jun 09 2015

STATUS

approved

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Last modified July 27 02:39 EDT 2021. Contains 346302 sequences. (Running on oeis4.)