Sequences

Fractional part of square root of a(n) starts with 5: first term of runs.

Fractional part of square root of a(n) starts with 6: first term of runs.

Fractional part of square root of a(n) starts with 7: first term of runs.

Fractional part of square root of a(n) starts with 8: first term of runs.

Fractional part of square root of a(n) starts with 9: first term of runs.

Fractional part of cube root of a(n) starts with digit 0 (cubes excluded).

Fractional part of cube root of a(n) starts with digit 1.

Fractional part of cube root of a(n) starts with digit 2.

Fractional part of cube root of a(n) starts with digit 3.

Fractional part of cube root of a(n) starts with digit 4.

Fractional part of cube root of a(n) starts with digit 5.

Fractional part of cube root of a(n) starts with digit 6.

Fractional part of cube root of a(n) starts with digit 7.

Numbers whose fractional part of the cube root starts with digit 8.

Decimal part of cube root of n starts with digit 9.

Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded).

Decimal part of cube root of a(n) starts with 1: first term of runs.

Decimal part of cube root of a(n) starts with 2: first term of runs.

Decimal part of cube root of a(n) starts with 3: first term of runs.

Decimal part of cube root of a(n) starts with 4: first term of runs.

a(n) = ceiling((n + 1/2)^3).

Decimal part of cube root of a(n) starts with 6: first term of runs.

a(n) = ceiling((n + 7/10)^3).

Decimal part of cube root of a(n) starts with 8: first term of runs.

Decimal part of cube root of n starts with 9: first term of runs.

Number of partitions of n into distinct parts from [1, 6].

Number of partitions of n into distinct parts from [1, 7].

Number of partitions of n into distinct parts from [1, 8].

Number of partitions of n into distinct parts from [1, 9].

Number of partitions of n into distinct parts from [1, 10].

Number of partitions of n into distinct parts from [1, 11].

Number of partitions of n into distinct parts from [1, 12].

Number of partitions of n into distinct parts from [1, 13].

Number of partitions of n into distinct parts from [1, 14].

Number of partitions of n into distinct parts from [1, 15].

Number of partitions of n into distinct parts from [1, 16].

Number of partitions of n into distinct parts from [1, 17].

Number of partitions of n into distinct parts from [1, 18].

Number of partitions of n into distinct parts from [1, 19].

Number of partitions of n into distinct parts from [1, 20].

Number of partitions of n into 3 distinct parts from [ 1,8 ].

Number of partitions of n into 3 distinct parts from [ 1,9 ].

Number of partitions of n into 3 distinct parts from [ 1,10 ].

Number of partitions of n into 3 distinct parts from [ 1,11 ].

Number of partitions of n into 3 distinct parts from [ 1,12 ].

Number of partitions of n into 3 distinct parts from [ 1,13 ].

Number of partitions of n into 3 distinct parts from [ 1,14 ].

Number of partitions of n into 3 distinct parts from [ 1,15 ].

Number of partitions of n into 3 distinct parts from [ 1,16 ].

Number of partitions of n into 3 distinct parts from [ 1,17 ].