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Decomposition of Natural numbers - Sieve of Eratosthenes

3D graph (WebGL) / 2D graph - First 500 terms
The natural numbers. Also called the whole numbers, the counting numbers or the positive integers.
A000027(n) = A020639(n-1) * A032742(n-1) + 1
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Decomposition of Natural numbers - Sieve of Eratosthenes - 9998 dots.

Decomposition of A000028

3D graph (WebGL) / 2D graph - First 500 terms
Let n = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives n such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.
A000028(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000028 (9999 lines.)
Decomposition of A000028 - 9998 dots.

Decomposition of Not squares

3D graph (WebGL) / 2D graph - First 500 terms
Numbers that are not squares.
A000037(n) = A000000(n) * A000000(n) + A062557(n)
Download CSV of the decomposition of Not squares (9899 lines.)
Decomposition of Not squares - 9897 dots.

Decomposition of Prime numbers

3D graph (WebGL) / 2D graph - First 500 terms
The prime numbers.
A000040(n) = A117078(n) * A117563(n) + A001223(n)
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Decomposition of Prime numbers - 9997 dots.

Decomposition of A000059

3D graph (WebGL) / 2D graph - First 500 terms
Numbers n such that (2n)^4 + 1 is prime.
A000059(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000059 (9999 lines.)
Decomposition of A000059 - 9996 dots.

Decomposition of A000062

3D graph (WebGL) / 2D graph - First 500 terms
A Beatty sequence: [ n/(e-2) ].
A000062(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000062 (10000 lines.)
Decomposition of A000062 - 9998 dots.

Decomposition of A000068

3D graph (WebGL) / 2D graph - First 500 terms
Numbers n such that n^4 + 1 is prime.
A000068(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000068 (9999 lines.)
Decomposition of A000068 - 9995 dots.

Decomposition of Odious numbers

3D graph (WebGL) / 2D graph - First 500 terms
Odious numbers: numbers with an odd number of 1's in their binary expansion.
A000069(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of Odious numbers (10000 lines.)
Decomposition of Odious numbers - 9997 dots.

Decomposition of A000093

3D graph (WebGL) / 2D graph - First 500 terms
floor(n^(3/2)).
A000093(n) = A000000(n) * A000000(n) + A035936(n)
Download CSV of the decomposition of A000093 (10000 lines.)
Decomposition of A000093 - 9997 dots.

Decomposition of A000096

3D graph (WebGL) / 2D graph - First 500 terms
n*(n+3)/2.
A000096(n) = A000000(n) * A000000(n) + (n + 2)
Download CSV of the decomposition of A000096 (7000 lines.)
Decomposition of A000096 - 6997 dots.