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Search: id:A097043
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A097043 a(n) = n - a(floor(sqrt(n))) for n > 1; a(1) = 1. +0
2
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 (list; graph; listen)
OFFSET

1,3

FORMULA

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

a(n)=n-sqrt(n)+O(n^(1/4)) [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 23 2009]

PROGRAM

(PARI) a(n)=if(n<2, 1, n-a(sqrtint(n)) [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 23 2009]

CROSSREFS

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

Sequence in context: A101041 A093697 A157466 this_sequence A053759 A060431 A124808

Adjacent sequences: A097040 A097041 A097042 this_sequence A097044 A097045 A097046

KEYWORD

nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 20 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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