A184674 -id:A184674

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A184675

n + floor(sqrt(n) + sqrt(n+1)); complement of A184674.

+20
2

3, 5, 6, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..67.

FORMULA

a(n) = n + floor(sqrt(n) + sqrt(n+1)).

a(n) = n + floor(sqrt(4*n + 1)). [Mircea Merca, Feb 05 2012]

MAPLE

A184675:=n->n + floor(sqrt(4*n + 1)); seq(A184675(n), n=1..50); # Wesley Ivan Hurt, Mar 01 2014

MATHEMATICA

a[n_]:=n+Floor[(n/2-1/(2n))^2];

b[n_]:=n+Floor[n^(1/2)+(n+1)^(1/2)];

Table[a[n], {n, 1, 120}] (* A184674 *)

Table[b[n], {n, 1, 120}] (* A184675 *)

CROSSREFS

Cf. A183867, A184674.

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jan 19 2011

STATUS

approved

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