Sequences

a(n) = 12*a(n-1) + 7*a(n-2).

a(n) = 12*a(n-1) + 11*a(n-2).

a(n) = Sum_{i=1..n} phi(i) * (ceiling(n/i) - floor(n/i)).

a(n) = -1 + Sum_{i=1..n} phi(i).

Inverse of 1606th cyclotomic polynomial.

Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.

Number of (unordered) triples of integers from [1,n] with no common factors between pairs.

Number of triples of different integers from [ 2,n ] with no global factor.

Inverse of 1610th cyclotomic polynomial.

Number of triples of different integers from [ 2,n ] with no common factors between pairs.

Inverse of 1612th cyclotomic polynomial.

Quadruples of different integers from [ 1,n ] with no global factor.

Quadruples of different integers from [ 1,n ] with no common factors between pairs.

Inverse of 1615th cyclotomic polynomial.

Quadruples of different integers from [ 1,n ] with no common factors between triples.

Inverse of 1617th cyclotomic polynomial.

Quadruples of different integers from [ 2,n ] with no global factor.

Quadruples of different integers from [ 2,n ] with no common factors between pairs.

Quadruples of different integers from [ 2,n ] with no common factors between triples.

Augmented amicable pairs (larger member of each pair).

Number of ordered triples of integers from [ 1..n ] with no global factor.

Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.

Number of ordered triples of integers from [ 2,n ] with no global factor.

Number of ordered quadruples of integers from [ 1..n ] with no global factor.

Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.

Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.

Inverse of 1628th cyclotomic polynomial.

Number of ordered quadruples of integers from [ 2,n ] with no global factor.

Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.

Number of 5-tuples of different integers from [ 1,n ] with no global factor.

Number of 5-tuples of different integers from [ 2,n ] with no global factor.

Inverse of 1633rd cyclotomic polynomial.

Inverse of 1634th cyclotomic polynomial.

Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.

Number of 5-tuples of different integers from [ 2,n ] with no common factors among quadruples.

Number of 5-tuples of different integers from [ 1,n ] with no common factors among triples.

Inverse of 1638th cyclotomic polynomial.

Inverse of 1639th cyclotomic polynomial.

Number of 5-tuples of different integers from [ 2,n ] with no common factors among triples.

Number of ordered 5-tuples of integers from [ 1..n ] with no global factor.

Number of ordered 5-tuples of integers from [ 2,n ] with no global factor.

Inverse of 1643rd cyclotomic polynomial.

Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among quadruples.

Inverse of 1645th cyclotomic polynomial.

Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among quadruples.

Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among triples.

Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among triples.

Inverse of 1649th cyclotomic polynomial.

Inverse of 1650th cyclotomic polynomial.

Inverse of 1651st cyclotomic polynomial.