Sequences

Decimal part of a(n)^(1/6) starts with n (6th powers excluded).

Decimal part of a(n)^(1/7) starts with n (7th powers excluded).

Decimal part of a(n)^(1/8) starts with n (8th powers excluded).

Decimal part of a(n)^(1/9) starts with n (9th powers excluded).

Decimal part of a(n)^(1/10) starts with n (10th powers excluded).

Decimal part of a(n)^(1/11) starts with n (11th powers excluded).

Decimal part of a(n)^(1/2) starts with n so that a(n)<a(n+1).

Decimal part of a(n)^(1/3) starts with n so that a(n)<a(n+1).

Decimal part of a(n)^(1/4) starts with n so that a(n)<a(n+1).

Decimal part of a(n)^(1/5) starts with n so that a(n)<a(n+1).

Decimal part of a(n)^(1/6) starts with n so that a(n)<a(n+1).

Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).

a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/8) starts with n.

a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n.

a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.

a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.

Decimal part of n-th root of a(n) starts with digit 0.

Decimal part of n-th root of a(n) starts with digit 1.

Decimal part of n-th root of a(n) starts with digit 2.

Decimal part of n-th root of a(n) starts with digit 3.

Decimal part of n-th root of a(n) starts with digit 4.

a(n) = least integer m such that the part after the decimal point of the n-th root of m starts with the digit 5.

Decimal part of n-th root of a(n) starts with digit 6.

Decimal part of n-th root of a(n) starts with digit 7.

Decimal part of n-th root of a(n) starts with digit 8.

Decimal part of n-th root of a(n) starts with digit 9.

Numbers divisible by the sum of the squares of their digits.

Numbers divisible by the sum of the cubes of their digits.

Numbers that are proper divisors of the number you get by rotating digits right once.

Numbers k whose sum of proper divisors (A001065(k)) exceeds that of all smaller numbers.

Records for sum of proper divisors function A001065.

Number of partitions of n into 3 distinct parts from [ 1,39 ].

Number of near-repunit primes that can be formed from (10^k - 1)/9 by changing just one digit from 1 to 0.

(-1)sigma perfect numbers: (-1)sigma(a) = m*a for some integer m, where if a = Product p(i)^r(i) then (-1)sigma(a) = Product_{i} (-1 + Sum_{s=1..r(i)} p(i)^s).

Indices of (-1)sigma perfect numbers.

Fractional part of square root of n starts with digit 0 (squares excluded).

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

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

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

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

Numbers whose fractional part of square root starts with digit 5.

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

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

Fractional part of square root of a(n) starts with digit 8.

Numbers n such that fractional part of square root of n starts with digit 9.

Fractional part of square root of n starts with 0: first term of runs (squares excluded).

Fractional part of square root of a(n) starts with 1: first term of runs.

Fractional part of square root of a(n) starts with 2: first term of runs.

Fractional part of square root of a(n) starts with 3: first term of runs.

Fractional part of square root of a(n) starts with 4: first term of runs.