Sequences

Product of next 2 primes after n.

Number of combinations of n things from 1 to n at a time, with repeats allowed.

Essentially same as A013638.

Product of largest prime <= n and smallest prime >= n.

Smallest nontrivial extension of n which is prime.

Smallest nontrivial extension of n which is a square.

Square root of A030666(n).

Smallest nontrivial extension of n which is a cube.

Cube root of A030668.

Smallest prime formed by appending a number to the n-th prime.

Smallest extension of n-th prime which is a square.

Square root of A030671.

Smallest cube that begins with n-th prime.

Cube root of A030673.

Smallest nontrivial extension of n-th palindrome which is a prime.

Smallest nontrivial extension of n-th palindrome which is a square.

a(n) is the square root of A030676(n).

Smallest nontrivial extension of n-th palindrome which is a cube.

Cube root of A030678.

Smallest nontrivial extension of n-th palindromic prime which is a prime.

Smallest nontrivial extension of n-th palindromic prime which is a square.

Square root of A030681.

Smallest nontrivial extension of n-th palindromic prime which is a cube.

Cube root of A030683.

Smallest nontrivial extension of n-th square which is a prime.

Smallest nontrivial extension of n^2 which is a square.

Square root of A030686.

Smallest nontrivial extension of n-th square which is a square not ending 00.

Square root of A030688.

Smallest nontrivial extension of n-th square which is a cube.

Cube root of A030690.

Smallest nontrivial extension of n-th cube which is a prime.

Smallest nontrivial extension of n-th cube which is a square.

Square root of A030693.

Smallest nontrivial extension of n-th cube which is a cube.

Cube root of A030695.

Smallest nontrivial extension of n-th cube which is a cube not ending 000.

Cube root of A030697.

Maximal value of Q(n,m) (number of partitions of n into m distinct summands) for given n.

Decimal expansion of 3^n contains no zeros (probably finite).

Decimal expansion of 4^n contains no zeros (probably finite).

Decimal expansion of 6^n contains no zeros (probably finite).

Decimal expansion of 7^n contains no zeros (probably finite).

Numbers k such that the decimal expansion of 8^k contains no zeros (probably finite).

Numbers k such that the decimal expansion of 9^k contains no zeros (probably finite).

Decimal expansion of 11^n contains no zeros (probably finite).

The first list after the following procedure: starting with a list [1] and an empty list, repeatedly add the distinct values already in both lists in ascending order to the second list and add the corresponding frequencies of those values to the first list.

The second list after the following procedure: starting with a list [1] and an empty list, repeatedly add the distinct values already in both lists in ascending order to the second list and add the corresponding frequencies of those values to the first list.

Number of new terms at stage n in the formation of A030707.

a(n)=least k such that s(k)=n, where s=A030707.