Sequences

Multiplicity of highest weight (or singular) vectors associated with character chi_23 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_24 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_25 of Monster module.

Leading term in extremal weight enumerator of doubly-even binary self-dual code of length 24n.

Second term in extremal weight enumerator of doubly-even binary self-dual code of length 24n.

Multiplicity of highest weight (or singular) vectors associated with character chi_28 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_29 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_30 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_31 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_32 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_33 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_34 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_35 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_36 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_37 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_38 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_39 of Monster module.

E.g.f.: 1 - (1-x)*(tan(x) + sec(x)).

Multiplicity of highest weight (or singular) vectors associated with character chi_41 of Monster module.

Convolution of A001147 (double factorial numbers) with itself.

Multiplicity of highest weight (or singular) vectors associated with character chi_43 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_44 of Monster module.

Expansion of q^(-3) * (eta(q) * eta(q^8))^8 in powers of q.

Multiplicity of highest weight (or singular) vectors associated with character chi_46 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_47 of Monster module.

Expansion of (eta(q) * eta(q^9))^12 in powers of q.

Multiplicity of highest weight (or singular) vectors associated with character chi_49 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_50 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_51 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_52 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_53 of Monster module.

Arrange digits of primes in ascending order (omitting any that contain 0's), then sort list.

Multiplicity of highest weight (or singular) vectors associated with character chi_55 of Monster module.

a(n) is the number of unitary divisors of n (d such that d divides n, gcd(d, n/d) = 1).

Multiplicity of highest weight (or singular) vectors associated with character chi_57 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_58 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_59 of Monster module.

usigma(n) = sum of unitary divisors of n (divisors d such that gcd(d, n/d)=1); also called UnitarySigma(n).

Multiplicity of highest weight (or singular) vectors associated with character chi_61 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_62 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_63 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_64 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_65 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_66 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_67 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_68 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_69 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_70 of Monster module.

Multiplicity of highest weight (or singular) vectors associated with character chi_71 of Monster module.

a(n) = usigma(n) - n, where usigma(n) = sum of unitary divisors of n (A034448).