A097043 a(n) = n - a(floor(sqrt(n))) for n > 1; a(1) = 1.

1, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66

Offset

1,3

Links

Table of n, a(n) for n=1..73.

Formula

a(1)=1; a(n) = n - a(floor(sqrt(n))) for n > 1.

a(n)=n-sqrt(n)+O(n^(1/4)) - Benoit Cloitre, Jul 23 2009

Prog

(PARI) a(n)=if(n<2, 1, n-a(sqrtint(n)) \\ Benoit Cloitre, Jul 23 2009

Crossrefs

Cf. A097044 ( n + a(floor(sqrt(n))) ).

Sequence in context: A194260 A227394 A209900 * A245336 A356964 A053759

Adjacent sequences: A097040 A097041 A097042 * A097044 A097045 A097046

Keyword

nonn

Author

Rick L. Shepherd, Jul 20 2004

Status

approved