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Decomposition of A162527

Numbers n such that their largest divisor <= sqrt(n) equals 7.
A162527(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A162527 - 9999 dots.

Decomposition of A162795

Total number of toothpicks in the toothpick structure A139250 that are parallel to the initial toothpick, after n odd rounds.
A162795(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A162795 - 9995 dots.

Decomposition of A162862

Numbers n such that n^10+n^9+n^8+n^7+n^6+n^5+n^4+n^3+n^2+n+1 is prime.
A162862(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A162862 - 9995 dots.

Decomposition of A164977

Numbers m such that the set {1..m} has only one nontrivial decomposition into subsets with equal element sum.
A164977(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A164977 - 9996 dots.

Decomposition of Isolated primes

Isolated primes: Primes p such that there is no other prime in the interval [2*prevprime(p/2), 2*nextprime(p/2)].
A166251(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of Isolated primes - 9995 dots.

Decomposition of Orderly numbers

Orderly numbers: a number n is orderly if there exists some number k > tau(n) such that the set of the divisors of n is congruent to the set {1,2,...,tau(n)} mod k.
A167408(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of Orderly numbers - 9997 dots.

Decomposition of Single numbers

The single or isolated numbers. The union of single (or isolated or non-twin) primes and single (or isolated or average of twin prime pairs) nonprimes.
A167706(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of Single numbers - 9995 dots.