Sequences
392,541 sequences
- Number of self-complementary Boolean functions of n variables: see Comments for precise definition.A000610
Number of self-complementary Boolean functions of n variables: see Comments for precise definition.
- Number of normalized Latin squares of order n containing no 2 X 2 Latin subsquare.A000611
Number of normalized Latin squares of order n containing no 2 X 2 Latin subsquare.
- Number of P-equivalence classes of switching functions of n or fewer variables, divided by 2.A000612
Number of P-equivalence classes of switching functions of n or fewer variables, divided by 2.
- Number of Boolean functions of n variables.A000613
Number of Boolean functions of n variables.
- Number of complemented types of Boolean functions of n variables under action of AG(n,2).A000614
Number of complemented types of Boolean functions of n variables under action of AG(n,2).
- Threshold functions of exactly n variables.A000615
Threshold functions of exactly n variables.
- a(-1)=1 by convention; for n >= 0, a(n) = number of irreducible Boolean functions of n variables.A000616
a(-1)=1 by convention; for n >= 0, a(n) = number of irreducible Boolean functions of n variables.
- Number of NP-equivalence classes of threshold functions of n or fewer variables.A000617
Number of NP-equivalence classes of threshold functions of n or fewer variables.
- Number of nondegenerate Boolean functions of n variables: For n > 0, a(n) = A000616(n) - A000616(n-1).A000618
Number of nondegenerate Boolean functions of n variables: For n > 0, a(n) = A000616(n) - A000616(n-1).
- NP-equivalence classes of threshold functions of exactly n variables.A000619
NP-equivalence classes of threshold functions of exactly n variables.
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are stereoisomers.A000620
Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are stereoisomers.
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.A000621
Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.A000622
Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.A000623
Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.A000624
Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.
- Number of n-node steric rooted ternary trees; number of n carbon alkyl radicals C(n)H(2n+1) taking stereoisomers into account.A000625
Number of n-node steric rooted ternary trees; number of n carbon alkyl radicals C(n)H(2n+1) taking stereoisomers into account.
- Number of stereoisomeric paraffins with n carbon atoms.A000626
Number of stereoisomeric paraffins with n carbon atoms.
- Number of non-stereoisomeric paraffins with n carbon atoms.A000627
Number of non-stereoisomeric paraffins with n carbon atoms.
- Number of n-node unrooted steric quartic trees; number of n-carbon alkanes C(n)H(2n+2) taking stereoisomers into account.A000628
Number of n-node unrooted steric quartic trees; number of n-carbon alkanes C(n)H(2n+2) taking stereoisomers into account.
- Number of necklaces of partitions of n+1 labeled beads.A000629
Number of necklaces of partitions of n+1 labeled beads.
- Number of ways to represent n using the binary operator a * b = 2^a + b.A000630
Number of ways to represent n using the binary operator a * b = 2^a + b.
- Number of ethylene derivatives with n carbon atoms.A000631
Number of ethylene derivatives with n carbon atoms.
- Number of esters with n carbon atoms up to structural isomerism.A000632
Number of esters with n carbon atoms up to structural isomerism.
- Number of acyclic quaternary ammonium ions with n carbon atoms.A000633
Number of acyclic quaternary ammonium ions with n carbon atoms.
- Number of glycols with n carbon atoms.A000634
Number of glycols with n carbon atoms.
- Number of paraffins C_n H_{2n} X Y with n carbon atoms.A000635
Number of paraffins C_n H_{2n} X Y with n carbon atoms.
- Number of paraffins C_n H_{2n} X_2 with n carbon atoms.A000636
Number of paraffins C_n H_{2n} X_2 with n carbon atoms.
- Number of fixed-point-free permutation groups of degree n.A000637
Number of fixed-point-free permutation groups of degree n.
- Number of permutation groups of degree n; also number of conjugacy classes of subgroups of symmetric group S_n; also number of molecular species of degree n.A000638
Number of permutation groups of degree n; also number of conjugacy classes of subgroups of symmetric group S_n; also number of molecular species of degree n.
- Number of alkyl benzenes with n carbon atoms: C(n)H(2n-6).A000639
Number of alkyl benzenes with n carbon atoms: C(n)H(2n-6).
- Number of paraffins C_n H_{2n-1} XYZ with n carbon atoms.A000640
Number of paraffins C_n H_{2n-1} XYZ with n carbon atoms.
- Number of paraffins C_n H_{2n-1} X_3 with n carbon atoms.A000641
Number of paraffins C_n H_{2n-1} X_3 with n carbon atoms.
- a(1)=0; for n>1, a(n) = number of isomeric hydrocarbons of the acetylene series with carbon content n.A000642
a(1)=0; for n>1, a(n) = number of isomeric hydrocarbons of the acetylene series with carbon content n.
- a(n) = a(n-1) + 2^a(n-2).A000643
a(n) = a(n-1) + 2^a(n-2).
- Number of loops of length 4n on square grid that turn at each step and return to start in original direction.A000644
Number of loops of length 4n on square grid that turn at each step and return to start in original direction.
- Number of alkyls X^{II} C_n H_{2n+1} Y with n carbon atoms.A000645
Number of alkyls X^{II} C_n H_{2n+1} Y with n carbon atoms.
- Number of alkyls Y^{II} C_n H_{2n+2} with n carbon atoms.A000646
Number of alkyls Y^{II} C_n H_{2n+2} with n carbon atoms.
- Alkyl naphthalenes C_{n+10} H_{2n+8} with n+10 carbon atoms.A000647
Alkyl naphthalenes C_{n+10} H_{2n+8} with n+10 carbon atoms.
- Number of alkyls C_{n+15} H_{2n+10} (Anthr.) with n carbon atoms.A000648
Number of alkyls C_{n+15} H_{2n+10} (Anthr.) with n carbon atoms.
- Number of alkyls C_{n+15} H_{2n+10} (Phenan) with n carbon atoms.A000649
Number of alkyls C_{n+15} H_{2n+10} (Phenan) with n carbon atoms.
- Number of alkyls S C_{n+4} H_{2n+4} with n carbon atoms.A000650
Number of alkyls S C_{n+4} H_{2n+4} with n carbon atoms.
- Running time of Takeuchi function.A000651
Running time of Takeuchi function.
- Invertible Boolean functions of n variables.A000652
Invertible Boolean functions of n variables.
- Invertible Boolean functions of n variables.A000653
Invertible Boolean functions of n variables.
- Invertible Boolean functions of n variables.A000654
Invertible Boolean functions of n variables.
- a(n) = number of letters in a(n-1), a(1) = 1 (in English).A000655
a(n) = number of letters in a(n-1), a(1) = 1 (in English).
- Invertible Boolean functions of n variables with S(n) acting on the domain and GL(n,2) acting on the range.A000656
Invertible Boolean functions of n variables with S(n) acting on the domain and GL(n,2) acting on the range.
- Median Euler numbers (the middle numbers of Arnold's shuttle triangle).A000657
Median Euler numbers (the middle numbers of Arnold's shuttle triangle).
- Strehl's sequence "C_n^(3)".A000658
Strehl's sequence "C_n^(3)".
- a(n) = 2^a(n-1) + a(n-2).A000659
a(n) = 2^a(n-1) + a(n-2).