Sequences
392,541 sequences
- Expansion of 1/((1-11x)(1-12x)(1-13x)(1-14x)(1-15x)).A016111
Expansion of 1/((1-11x)(1-12x)(1-13x)(1-14x)(1-15x)).
- Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.A016112
Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.
- Numbers whose square is a palindrome with an even number of digits.A016113
Numbers whose square is a palindrome with an even number of digits.
- The smallest representative in a cycle of circular primes, where circular primes are numbers that remain prime under cyclic shifts of digits.A016114
The smallest representative in a cycle of circular primes, where circular primes are numbers that remain prime under cyclic shifts of digits.
- Number of prime palindromes with n digits.A016115
Number of prime palindromes with n digits.
- a(n) = 2^floor(n/2).A016116
a(n) = 2^floor(n/2).
- Inverse of 2108th cyclotomic polynomial.A016117
Inverse of 2108th cyclotomic polynomial.
- Inverse of 2109th cyclotomic polynomial.A016118
Inverse of 2109th cyclotomic polynomial.
- Minimal number of cosets in an orthogonal sublattice of A_n (minimal number of paths in any trellis diagram).A016119
Minimal number of cosets in an orthogonal sublattice of A_n (minimal number of paths in any trellis diagram).
- Minimal number of cosets in an orthogonal sublattice of {A_n}* (minimal number of paths in any trellis diagram).A016120
Minimal number of cosets in an orthogonal sublattice of {A_n}* (minimal number of paths in any trellis diagram).
- Number of sequences (a_1, a_2, ..., a_n) of length n with a_1 = 1 satisfying a_i <= a_{i+1} <= 2*a_i.A016121
Number of sequences (a_1, a_2, ..., a_n) of length n with a_1 = 1 satisfying a_i <= a_{i+1} <= 2*a_i.
- Decimal expansion of solution to log_10(x) = x - 4.A016122
Decimal expansion of solution to log_10(x) = x - 4.
- a(n) = (11^(n+1) - 1)/10.A016123
a(n) = (11^(n+1) - 1)/10.
- Inverse of 2115th cyclotomic polynomial.A016124
Inverse of 2115th cyclotomic polynomial.
- Expansion of 1/((1-x)*(1-12*x)).A016125
Expansion of 1/((1-x)*(1-12*x)).
- Inverse of 2117th cyclotomic polynomial.A016126
Inverse of 2117th cyclotomic polynomial.
- Expansion of g.f. 1/((1-2*x)*(1-5*x)).A016127
Expansion of g.f. 1/((1-2*x)*(1-5*x)).
- Inverse of 2119th cyclotomic polynomial.A016128
Inverse of 2119th cyclotomic polynomial.
- Expansion of 1/((1-2*x)*(1-6*x)).A016129
Expansion of 1/((1-2*x)*(1-6*x)).
- Expansion of g.f. 1/((1-2*x)*(1-7*x)).A016130
Expansion of g.f. 1/((1-2*x)*(1-7*x)).
- Expansion of 1/((1-2*x)*(1-8*x)).A016131
Expansion of 1/((1-2*x)*(1-8*x)).
- Inverse of 2123rd cyclotomic polynomial.A016132
Inverse of 2123rd cyclotomic polynomial.
- Expansion of 1/((1-2*x)*(1-9*x)).A016133
Expansion of 1/((1-2*x)*(1-9*x)).
- Expansion of g.f. 1/((1-2*x)*(1-10*x)).A016134
Expansion of g.f. 1/((1-2*x)*(1-10*x)).
- Expansion of g.f. 1/((1-2*x)*(1-11*x)).A016135
Expansion of g.f. 1/((1-2*x)*(1-11*x)).
- Expansion of 1/((1-2*x)*(1-12*x)).A016136
Expansion of 1/((1-2*x)*(1-12*x)).
- Expansion of 1/((1-3*x)*(1-6*x)).A016137
Expansion of 1/((1-3*x)*(1-6*x)).
- Expansion of 1/((1-3*x)*(1-7*x)).A016138
Expansion of 1/((1-3*x)*(1-7*x)).
- Inverse of 2130th cyclotomic polynomial.A016139
Inverse of 2130th cyclotomic polynomial.
- Expansion of 1/((1-3*x)*(1-8*x)).A016140
Expansion of 1/((1-3*x)*(1-8*x)).
- Inverse of 2132nd cyclotomic polynomial.A016141
Inverse of 2132nd cyclotomic polynomial.
- Expansion of 1/((1-3*x)*(1-9*x)).A016142
Expansion of 1/((1-3*x)*(1-9*x)).
- Inverse of 2134th cyclotomic polynomial.A016143
Inverse of 2134th cyclotomic polynomial.
- Inverse of 2135th cyclotomic polynomial.A016144
Inverse of 2135th cyclotomic polynomial.
- Expansion of g.f. 1/((1-3*x)*(1-10*x)).A016145
Expansion of g.f. 1/((1-3*x)*(1-10*x)).
- Expansion of g.f. 1/((1-3*x)*(1-11*x)).A016146
Expansion of g.f. 1/((1-3*x)*(1-11*x)).
- Expansion of 1/((1-3*x)*(1-12*x)).A016147
Expansion of 1/((1-3*x)*(1-12*x)).
- Inverse of 2139th cyclotomic polynomial.A016148
Inverse of 2139th cyclotomic polynomial.
- Expansion of g.f. 1/((1 - 4*x)*(1 - 6*x)).A016149
Expansion of g.f. 1/((1 - 4*x)*(1 - 6*x)).
- Expansion of g.f. 1/((1-4*x)*(1-7*x)).A016150
Expansion of g.f. 1/((1-4*x)*(1-7*x)).
- Inverse of 2142nd cyclotomic polynomial.A016151
Inverse of 2142nd cyclotomic polynomial.
- a(n) = 4^(n-1)*(2^n-1).A016152
a(n) = 4^(n-1)*(2^n-1).
- a(n) = (9^n-4^n)/5.A016153
a(n) = (9^n-4^n)/5.
- Inverse of 2145th cyclotomic polynomial.A016154
Inverse of 2145th cyclotomic polynomial.
- Inverse of 2146th cyclotomic polynomial.A016155
Inverse of 2146th cyclotomic polynomial.
- Inverse of 2147th cyclotomic polynomial.A016156
Inverse of 2147th cyclotomic polynomial.
- Expansion of g.f. 1/((1-4*x)*(1-10*x)).A016157
Expansion of g.f. 1/((1-4*x)*(1-10*x)).
- Expansion of g.f. 1/((1-4*x)*(1-11*x)).A016158
Expansion of g.f. 1/((1-4*x)*(1-11*x)).
- Expansion of 1/((1-4*x)*(1-12*x)).A016159
Expansion of 1/((1-4*x)*(1-12*x)).
- Duplicate of A005062.A016160
Duplicate of A005062.