Sequences

Numbers with exactly 3 ones in binary expansion.

Numbers with exactly 4 ones in binary expansion.

Numbers with exactly 5 ones in binary expansion.

Number of up steps in all length n left factors of Dyck paths.

Number of permutations of squarefree monomials of degree n in n non-commutative variables that are compatible with a non-commutative monomial order (in the Groebner basis sense).

Convolution of Catalan numbers and squares.

Inverse of 308th cyclotomic polynomial.

Convolution of Catalan numbers and powers of 2.

Inverse of 310th cyclotomic polynomial.

The next new gap between successive primes.

The next new gap between successive odd primes (divided by 2).

Convolution of Bell numbers with themselves.

Three-fold convolution of Bell numbers with themselves.

Inverse of 315th cyclotomic polynomial.

Four-fold convolution of Bell numbers with themselves.

Convolution of partition numbers and Bell numbers.

Convolution of Bell and Catalan numbers.

Inverse of 319th cyclotomic polynomial.

Convolution of partition numbers and Catalan numbers.

Exponential convolution of Catalan numbers with themselves.

Inverse of 322nd cyclotomic polynomial.

Inverse of 323rd cyclotomic polynomial.

Three-fold exponential convolution of Catalan numbers with themselves.

Exponential convolution of Fibonacci numbers with themselves.

Exponential convolution of Fibonacci numbers with themselves (divided by 2).

Three-fold exponential convolution of Fibonacci numbers with themselves.

Three-fold exponential convolution of Fibonacci numbers with themselves (divided by 6).

Inverse of 329th cyclotomic polynomial.

Inverse of 330th cyclotomic polynomial.

Four-fold exponential convolution of Fibonacci numbers with themselves.

Four-fold exponential convolution of Fibonacci numbers with themselves (divided by 24).

Convolution of primes with themselves.

Three-fold convolution of primes with themselves.

Four-fold convolution of primes with themselves.

Exponential convolution of primes with themselves.

Exponential convolution of primes with themselves (divided by 2).

Three-fold exponential convolution of primes with themselves.

Three-fold exponential convolution of primes with themselves (divided by 2).

Inverse of 340th cyclotomic polynomial.

Inverse of 341st cyclotomic polynomial.

Four-fold exponential convolution of primes with themselves (divided by 8).

Four-fold exponential convolution of primes with themselves.

Chance of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in poker is 1 in a(n) (rounded to nearest integer).

Inverse of 345th cyclotomic polynomial.

Chance of getting a pair (2 to aces), 2 jacks, 2 queens, 2 kings, 2 aces, 2 pair, 3 of a kind, straight, flush, full house in 5-card poker is 1 in a(n), according to M. Barron.

Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in 5-card poker when joker is wild.

Number of ways of getting 5 of a kind, a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.

Chance of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in poker when joker is wild is 1 in a(n) (rounded to nearest integer).

Inverse of 350th cyclotomic polynomial.

Aliquot sequence starting at 552.