Sequences
392,541 sequences
- Reverse and Add! sequence starting with 196.A006960
Reverse and Add! sequence starting with 196.
- Number of mappings from n points to themselves with in-degree <= 2.A006961
Number of mappings from n points to themselves with in-degree <= 2.
- Supersingular primes of the elliptic curve X_0 (11).A006962
Supersingular primes of the elliptic curve X_0 (11).
- Number of planar embedded labeled trees with n nodes: (2*n-3)!/(n-1)! for n >= 2, a(1) = 1.A006963
Number of planar embedded labeled trees with n nodes: (2*n-3)!/(n-1)! for n >= 2, a(1) = 1.
- Number of directed rooted trees with n nodes.A006964
Number of directed rooted trees with n nodes.
- Number of directed trees with n nodes.A006965
Number of directed trees with n nodes.
- Number of lattices on n unlabeled nodes.A006966
Number of lattices on n unlabeled nodes.
- Number of graceful permutations of length n.A006967
Number of graceful permutations of length n.
- Number of letters in Roman numeral representation of n.A006968
Number of letters in Roman numeral representation of n.
- Number of characters in French ordinal numbers.A006969
Number of characters in French ordinal numbers.
- Euler pseudoprimes: composite numbers n such that 2^((n-1)/2) == +-1 (mod n).A006970
Euler pseudoprimes: composite numbers n such that 2^((n-1)/2) == +-1 (mod n).
- Composite numbers k such that k == +-1 (mod 8) and 2^((k-1)/2) == 1 (mod k).A006971
Composite numbers k such that k == +-1 (mod 8) and 2^((k-1)/2) == 1 (mod k).
- Lucas-Carmichael numbers: squarefree composite numbers k such that p | k => p+1 | k+1.A006972
Lucas-Carmichael numbers: squarefree composite numbers k such that p | k => p+1 | k+1.
- Dimensions of representations by Witt vectors.A006973
Dimensions of representations by Witt vectors.
- Coefficients of Chebyshev T polynomials: a(n) = A053120(n+8, n), n >= 0.A006974
Coefficients of Chebyshev T polynomials: a(n) = A053120(n+8, n), n >= 0.
- Negated coefficients of Chebyshev T polynomials: a(n) = -A053120(n+10, n), n >= 0.A006975
Negated coefficients of Chebyshev T polynomials: a(n) = -A053120(n+10, n), n >= 0.
- Coefficients of Chebyshev T polynomials: a(n) = A053120(n+12, n), n >= 0.A006976
Coefficients of Chebyshev T polynomials: a(n) = A053120(n+12, n), n >= 0.
- Cellular automaton with Rule 230: 000, 001, 010, 011, ..., 111 -> 0,1,1,0,0,1,1,1.A006977
Cellular automaton with Rule 230: 000, 001, 010, 011, ..., 111 -> 0,1,1,0,0,1,1,1.
- Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.A006978
Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.
- a(n) is the number of compositions of n in which the maximum part size is 5.A006979
a(n) is the number of compositions of n in which the maximum part size is 5.
- Compositions: 6th column of A048004.A006980
Compositions: 6th column of A048004.
- a(n) is the number of unlabeled modular lattices on n nodes.A006981
a(n) is the number of unlabeled modular lattices on n nodes.
- Number of unlabeled distributive lattices on n nodes.A006982
Number of unlabeled distributive lattices on n nodes.
- Number of simple perfect squared squares of order n up to symmetry.A006983
Number of simple perfect squared squares of order n up to symmetry.
- Greatest minimal norm of sublattice of index n in hexagonal lattice.A006984
Greatest minimal norm of sublattice of index n in hexagonal lattice.
- Fibonacci tower: a(n) = F(a(n-1)+2) (there is no room for next term).A006985
Fibonacci tower: a(n) = F(a(n-1)+2) (there is no room for next term).
- Erroneous version of A038119.A006986
Erroneous version of A038119.
- Binomial coefficients: C(n,k), 2 <= k <= n-2, sorted, duplicates removed.A006987
Binomial coefficients: C(n,k), 2 <= k <= n-2, sorted, duplicates removed.
- a(n) = (10^n)-th prime.A006988
a(n) = (10^n)-th prime.
- Log of g.f. of numbers of preferential arrangements.A006989
Log of g.f. of numbers of preferential arrangements.
- Largest prime <= n!.A006990
Largest prime <= n!.
- Primitive congruent numbers.A006991
Primitive congruent numbers.
- Bertrand primes: a(n) is largest prime < 2*a(n-1) for n > 1, with a(1) = 2.A006992
Bertrand primes: a(n) is largest prime < 2*a(n-1) for n > 1, with a(1) = 2.
- n! in base n.A006993
n! in base n.
- Number of letters in n (in Russian).A006994
Number of letters in n (in Russian).
- Binary palindromes: numbers whose binary expansion is palindromic.A006995
Binary palindromes: numbers whose binary expansion is palindromic.
- a(n) = C(2n,n) mod 3.A006996
a(n) = C(2n,n) mod 3.
- Partitioning integers to avoid arithmetic progressions of length 3.A006997
Partitioning integers to avoid arithmetic progressions of length 3.
- Partitioning integers to avoid arithmetic progressions of length 3.A006998
Partitioning integers to avoid arithmetic progressions of length 3.
- Partitioning integers to avoid arithmetic progressions of length 3.A006999
Partitioning integers to avoid arithmetic progressions of length 3.
- Number of partitions of n into Fibonacci parts (with 2 types of 1).A007000
Number of partitions of n into Fibonacci parts (with 2 types of 1).
- Trajectory of 1 under the morphism 1 -> 12, 2 -> 123, 3 -> 1234, etc.A007001
Trajectory of 1 under the morphism 1 -> 12, 2 -> 123, 3 -> 1234, etc.
- Sum of degrees of irreducible representations of alternating group A_n.A007002
Sum of degrees of irreducible representations of alternating group A_n.
- Euler transform of numbers of preferential arrangements.A007003
Euler transform of numbers of preferential arrangements.
- a(n) = (3*n)! / ((n+1)*(n!)^3).A007004
a(n) = (3*n)! / ((n+1)*(n!)^3).
- Number of characters in the French spelling of n, including spaces and hyphens.A007005
Number of characters in the French spelling of n, including spaces and hyphens.
- Number of edges in graph of maximal intersecting families of sets.A007006
Number of edges in graph of maximal intersecting families of sets.
- Valence of graph of maximal intersecting families of sets.A007007
Valence of graph of maximal intersecting families of sets.
- Chvatal conjecture for radius of graph of maximal intersecting sets.A007008
Chvatal conjecture for radius of graph of maximal intersecting sets.
- Number of 3-voter voting schemes with n linearly ranked choices.A007009
Number of 3-voter voting schemes with n linearly ranked choices.