Decomposition of A002410
Nearest integer to imaginary part of n-th zero of Riemann zeta function.
Decomposition of A002476
Primes of form 6m + 1.
Decomposition of A002491
Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire which make use of n-th hole.
Decomposition of Quarter-squares
Quarter-squares: floor(n/2)*ceiling(n/2). Equivalently, floor(n^2/4).
Decomposition of Composite numbers
The composite numbers: numbers n of the form x*y for x > 1 and y > 1.
Decomposition of A002822
Numbers n such that 6n-1, 6n+1 are twin primes.
Decomposition of A002837
Numbers n such that n^2 - n + 41 is prime.
Decomposition of Ulam numbers
Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) = least number > a(n-1) which is a unique sum of two distinct earlier terms.
Decomposition of A002977
a(1) = 1; subsequent terms are defined by the rule that if m is present so are 2m+1 and 3m+1.
Decomposition of A003038
Dimensions of split simple Lie algebras over any field of characteristic zero.