Decomposition into weight × level + jump - all 2D graphs

Tetrahedron-tree numbers: a(n)=sum(b(m),m=1..n), b(m)=1, 1,3, 1,3,6, 1,3,6,10,..., 1,2,...,i*(i+1)2.

A051677(n) = A000000(n) * A000000(n) + A000000(n)

Primes whose cubes lack zeros.

A051750(n) = A000000(n) * A000000(n) + A000000(n)

Doubly balanced primes: primes which are averages of both their immediate and their second neighbors.

A051795(n) = A000000(n) * A000000(n) + A000000(n)

Truncated triangular numbers: a(n)=n*(n+1)/2-9.

A051936(n) = A000000(n) * A000000(n) + A000027(n+1)

Numbers n with property that the sum of the digits of n is substring of n.

A052018(n) = A000000(n) * A000000(n) + A000000(n)

Sum of digits of n is a prime proper factor of n.

A052020(n) = A000000(n) * A000000(n) + A000000(n)

Composites base 10 that remain composite in all bases b, 2<=b<=10, expansions interpreted as decimal numbers.

A052026(n) = A000000(n) * A000000(n) + A000000(n)

Primes base 10 that remain prime in one (and only one) other base b, 2<=b<10, expansions interpreted as decimal numbers.

A052032(n) = A000000(n) * A000000(n) + A000000(n)

Primes base 10 that are never primes in any smaller base b, 2<=b<10, expansions interpreted as decimal numbers.

A052033(n) = A000000(n) * A000000(n) + A000000(n)

Primes such that the sum of the squares of their digits is also a prime.

A052034(n) = A000000(n) * A000000(n) + A000000(n)