Sequences
392,541 sequences
- a(n) = n-th prime modulo 13.A039711
a(n) = n-th prime modulo 13.
- a(n) = n-th prime modulo 14.A039712
a(n) = n-th prime modulo 14.
- a(n) = n-th prime modulo 15.A039713
a(n) = n-th prime modulo 15.
- a(n) = n-th prime modulo 16.A039714
a(n) = n-th prime modulo 16.
- Primes modulo 17.A039715
Primes modulo 17.
- a(n) = prime(n)!.A039716
a(n) = prime(n)!.
- Row sums of convolution triangle A030523.A039717
Row sums of convolution triangle A030523.
- Two-dimensional simplicial complexes on n labeled nodes.A039718
Two-dimensional simplicial complexes on n labeled nodes.
- Two-dimensional simplicial complexes on n unlabeled nodes.A039719
Two-dimensional simplicial complexes on n unlabeled nodes.
- Period of n-countdown club-passing juggling pattern.A039720
Period of n-countdown club-passing juggling pattern.
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(m+1-k).A039721
a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(m+1-k).
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).A039722
a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).
- Numbers in base -10.A039723
Numbers in base -10.
- a(n) is the negabinary expansion of n, that is, the expansion of n in base -2.A039724
a(n) is the negabinary expansion of n, that is, the expansion of n in base -2.
- Even abundant numbers divided by 2.A039725
Even abundant numbers divided by 2.
- Recursive prime generating sequence.A039726
Recursive prime generating sequence.
- [ Even numbers in the sequence generated by b(n)=|b(n-1)+2b(n-2)-n| ], divided by 2.A039727
[ Even numbers in the sequence generated by b(n)=|b(n-1)+2b(n-2)-n| ], divided by 2.
- (Even numbers in Hofstadter Q-sequence)/2.A039728
(Even numbers in Hofstadter Q-sequence)/2.
- [ Even numbers in the sequence generated by a(n)=a(a(n-2))+a(n-a(n-2)) ], divided by 2.A039729
[ Even numbers in the sequence generated by a(n)=a(a(n-2))+a(n-a(n-2)) ], divided by 2.
- A050829 divided by 2.A039730
A050829 divided by 2.
- a(n) = max{prime(n) mod q, where prime q < prime(n) = n-th prime}.A039731
a(n) = max{prime(n) mod q, where prime q < prime(n) = n-th prime}.
- a(n) = s(n+1)/2, s=A039731.A039732
a(n) = s(n+1)/2, s=A039731.
- a(n)=k such that prime(k) is the prime q<prime(n) for which (prime(n) mod q) is maximal.A039733
a(n)=k such that prime(k) is the prime q<prime(n) for which (prime(n) mod q) is maximal.
- a(n)=the prime q<prime(n) for which (prime(n) mod q) is maximal.A039734
a(n)=the prime q<prime(n) for which (prime(n) mod q) is maximal.
- Triangle read by rows: T(n,k) = number of nonisomorphic unlabeled planar graphs with n >= 1 nodes and 0 <= k <= 3n-6 edges.A039735
Triangle read by rows: T(n,k) = number of nonisomorphic unlabeled planar graphs with n >= 1 nodes and 0 <= k <= 3n-6 edges.
- a(n) = number of primes q<p having (p mod q) = 2, where p = n-th prime.A039736
a(n) = number of primes q<p having (p mod q) = 2, where p = n-th prime.
- a(n)=number of primes q<p having (p mod q)=3, where p=n-th prime.A039737
a(n)=number of primes q<p having (p mod q)=3, where p=n-th prime.
- a(n)=number of primes q<p having (p mod q)=4, where p=n-th prime.A039738
a(n)=number of primes q<p having (p mod q)=4, where p=n-th prime.
- a(n)=2*q-prime(n), where q is the prime < p(n) for which (prime(n) mod q) is maximal.A039739
a(n)=2*q-prime(n), where q is the prime < p(n) for which (prime(n) mod q) is maximal.
- Lattice animals in the cubic diamond lattice (4 nearest neighbors), even-vertex-connected cubes.A039740
Lattice animals in the cubic diamond lattice (4 nearest neighbors), even-vertex-connected cubes.
- Number of fixed n-celled lattice animals in the b.c.c. lattice (8 nearest neighbors), or connected truncated octahedra, or vertex-connected cubes.A039741
Number of fixed n-celled lattice animals in the b.c.c. lattice (8 nearest neighbors), or connected truncated octahedra, or vertex-connected cubes.
- Number of fixed n-celled lattice animals in the f.c.c. lattice (12 nearest neighbors), or connected rhombic dodecahedra, or edge-connected cubes.A039742
Number of fixed n-celled lattice animals in the f.c.c. lattice (12 nearest neighbors), or connected rhombic dodecahedra, or edge-connected cubes.
- Number k such that gcd(phi(k), k-1) = number of distinct prime factors of k.A039743
Number k such that gcd(phi(k), k-1) = number of distinct prime factors of k.
- Number of ways n*(n-1) can be partitioned into the sum of 2*(n-1) integers in the range 0..n.A039744
Number of ways n*(n-1) can be partitioned into the sum of 2*(n-1) integers in the range 0..n.
- Diameter of symmetric group S_n when generated by (1,2) and (1,2,3,...,n).A039745
Diameter of symmetric group S_n when generated by (1,2) and (1,2,3,...,n).
- Row sums of triangle A049375.A039746
Row sums of triangle A049375.
- Erroneous version of A003088.A039747
Erroneous version of A003088.
- Erroneous version of A051421.A039748
Erroneous version of A051421.
- Erroneous version of A001930.A039749
Erroneous version of A001930.
- Erroneous version of A058337.A039750
Erroneous version of A058337.
- Number of n-node graphs containing a 4-cycle.A039751
Number of n-node graphs containing a 4-cycle.
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).A039752
Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).
- Numbers common to A006145 and A039752.A039753
Numbers common to A006145 and A039752.
- Irregular triangle read by rows: T(n,k) = number of binary codes of length n with k words (n >= 0, 0 <= k <= 2^n); also number of 0/1-polytopes with vertices from the unit n-cube; also number of inequivalent Boolean functions of n variables with exactly k nonzero values under action of Jevons group.A039754
Irregular triangle read by rows: T(n,k) = number of binary codes of length n with k words (n >= 0, 0 <= k <= 2^n); also number of 0/1-polytopes with vertices from the unit n-cube; also number of inequivalent Boolean functions of n variables with exactly k nonzero values under action of Jevons group.
- Triangle of B-analogs of Stirling numbers of the second kind.A039755
Triangle of B-analogs of Stirling numbers of the second kind.
- Triangle of B-analogs of Stirling numbers of 2nd kind.A039756
Triangle of B-analogs of Stirling numbers of 2nd kind.
- Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2*n-1)).A039757
Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2*n-1)).
- Triangle of B-analogs of Stirling numbers of first kind.A039758
Triangle of B-analogs of Stirling numbers of first kind.
- Number of edges in the Hasse diagrams for the B-analogs of the partition lattices.A039759
Number of edges in the Hasse diagrams for the B-analogs of the partition lattices.
- Triangle of D-analogs of Stirling numbers of the 2nd kind.A039760
Triangle of D-analogs of Stirling numbers of the 2nd kind.