Decomposition of Single primes
Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.
Decomposition of A007528
Primes of form 6n-1.
Decomposition of A007532
Powerful numbers (2): a sum of positive powers of its digits.
Decomposition of A007606
Take 1, skip 2, take 3, etc.
Decomposition of A007618
a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.
Decomposition of A007692
Numbers that are the sum of 2 nonzero squares in 2 or more ways.
Decomposition of A007700
n, 2n+1, 4n+3 all prime.
Decomposition of Regular primes
Regular primes.
Decomposition of Happy numbers
Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1.
Decomposition of A007811
Numbers n for which 10n+1, 10n+3, 10n+7 and 10n+9 are primes.