A273555 a(n) = A001235(n) - floor(A001235(n)^(1/3))^3.

1, 8, 8, 1000, 64, 8, 729, 27, 232, 1728, 64, 216, 1728, 512, 8000, 4913, 729, 27, 125, 512, 64, 5832, 13331, 216, 13580, 125, 4913, 1000, 1856, 3375, 13824, 7073, 343, 2547, 8, 1331, 12167, 512, 1728, 8000, 13824, 13768, 24389, 9736, 16496, 216, 12167, 13824, 19683, 1

Offset: 1

Author

Altug Alkan, May 25 2016

Keywords

• nonn

Comments

Noncube terms of this sequence are 232, 13331, 13580, 1856, 7073, 2547, ...

How is the distribution of noncube terms in this sequence? See also A273592 that is related with this question.

Crossrefs

Cf. A001235, A055400, A273592.

Programs

PARI

T = thueinit(x^3+1, 1);
isA001235(n) = my(v=thue(T, n)); sum(i=1, #v, v[i][1]>=0 && v[i][2]>=v[i][1])>1;
lista(nn) = for(n=1, nn, if(isA001235(n), print1(n-sqrtnint(n,3)^3, ", ")));

Formula

a(n) = A055400(A001235(n)). - Michel Marcus, May 25 2016