Sequences

Nonsquares mod 98.

Nonsquares mod 99.

Nonsquares mod 100.

Expansion of (1-2*x)/((1-x)^3*(1-4*x)).

a(n) = prime(n) + 1 (starting with 1).

Numbers k such that k^2 is a palindrome with an odd number of digits.

Palindromic squares with an odd number of digits.

Palindromic squares with odd number of digits and non-palindromic and "non-core" square roots.

Numbers whose square has its digits in nondecreasing order.

Squares with digits in nondecreasing order.

Numbers k such that k^2 has digits in nonincreasing order.

Squares with digits in nonincreasing order.

Numbers k such that k^2 + k + 17 is prime.

Squarefree degrees of irreducible representations of Mathieu group M_24.

List of sizes of conjugacy classes of Mathieu simple group M_24 of order 244823040.

Distinct orders of elements of Mathieu group M_24.

List of orders of elements of Conway simple group Co_3.

Distinct orders of elements of Conway simple group Co_3.

List of orders of elements of Conway simple group Co_2.

Distinct orders of elements of Conway simple group Co_2.

Expansion of g.f. (1+2*x+3*x^2)/(1-x-x^2-x^3-x^4).

Number of distinct integers in period of continued fraction for sqrt(n), or 0 if n is a square.

Index of redundancy in period of continued fraction for sqrt(n).

Numbers whose sum of digits is a prime.

Numbers whose iterated sum of digits is a prime.

Iterated sum of digits of n is a power of 2.

Iterated sum of digits of n is a square.

Numbers whose sum of digits is a power of 2.

Sum of digits of n is a square.

Numbers k such that sum of digits of k is a Fibonacci number.

Iterated sum of digits of n is a Fibonacci number.

Numbers whose product of digits is prime.

Numbers whose iterated product of digits is a prime.

Row sums of triangle A013988.

Iterated product of digits of n is a nonzero square.

Numbers whose product of digits is a power of 2.

Number of composite labeled topologies on n points.

Number of composite labeled T_0 topologies on n points.

Number of composite unlabeled topologies (i.e., composite homeomorphism classes) on n points.

Number of composite unlabeled T_0 topologies (i.e., composite T_0 homeomorphism classes) on n points.

Number of composite unlabeled connected topologies (i.e., composite connected homeomorphism classes) on n points.

Number of composite unlabeled connected T_0 topologies (i.e., composite T_0 connected homeomorphism classes) on n points.

Number of prime labeled topologies on n points.

Number of prime labeled T_0 topologies on n points.

Number of prime unlabeled topologies (i.e., prime homeomorphism classes) on n points.

Number of prime unlabeled T_0 topologies (i.e., prime T_0 homeomorphism classes) on n points.

Number of prime unlabeled connected topologies (i.e., prime connected homeomorphism classes) on n points.

Number of prime unlabeled connected T_0 topologies (i.e., prime T_0 connected homeomorphism classes) on n points.

a(n+2) = 2*a(n+1) + 2*a(n); a(0) = 1, a(1) = 3.

a(n+2) = 2*a(n+1) + 2*a(n); a(0) = -1, a(1) = 1.