

A130498


a(1)=1. a(n) = number of earlier terms of the sequence which are coprime to (the number of positive integers which are <=n and missing from first (n1) terms of sequence).


2



1, 1, 2, 2, 4, 5, 6, 6, 3, 4, 9, 10, 10, 3, 14, 14, 6, 11, 12, 12, 6, 20, 21, 22, 22, 4, 26, 26, 7, 7, 16, 17, 18, 18, 11, 34, 34, 8, 8, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 57, 20, 34, 20, 61, 62, 63, 64, 65, 66, 67, 68, 69
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OFFSET

1,3


LINKS

Diana L. Mecum, Table of n, a(n) for n = 1..1011


EXAMPLE

The positive integers which are <= 9 and are missing from the first 8 terms of the sequence are 3,7,8,9. There are 4 such integers, so a(9) is the number of earlier terms which are coprime to 4. Therefore a(9) = 3.


MATHEMATICA

t = {1, 1, 2, 2, 4, 5, 6, 6, 3, 4}; n = 11; count = 0; comp = Complement[Range[Length[t] + 1], t]; Do[If[CoprimeQ[t[[j]], Length[comp]], count = count + 1], {j, 1, Length[t]}]; t = Append[t, count]; Do[n = n + 1; count = 0; comp = Complement[Range[Length[t] + 1], t]; Do[If[CoprimeQ[t[[j]], Length[comp]], count = count + 1], {j, 1, Length[t]}]; t = Append[t, count], {100}]; t (* Diana L. Mecum, Aug 06 2012 *)


CROSSREFS

Cf. A130499.
Sequence in context: A133937 A181523 A181537 * A263433 A147806 A338228
Adjacent sequences: A130495 A130496 A130497 * A130499 A130500 A130501


KEYWORD

nonn


AUTHOR

Leroy Quet, May 31 2007


EXTENSIONS

Terms corrected by Diana L. Mecum, Aug 06 2012


STATUS

approved



