Sequences

Write the (n+1)st Fibonacci number in base 9 and juxtapose.

Position of n-th 0 in A031111.

Position of n-th 1 in A031111.

Position of n-th 2 in A031111.

Position of n-th 3 in A031111.

Position of n-th 4 in A031111.

Position of n-th 5 in A031111.

Position of n-th 6 in A031111.

Position of n-th 7 in A031111.

Position of n-th 8 in A031111.

Integer ratios of Fibonacci numbers F(m)/F(n).

Integers that appear as ratios of Fibonacci numbers F(kn)/F(k), but omitting Fibonacci numbers F(n)/F(1) and Lucas numbers F(2n)/F(n).

Expansion of Sum_{m>=1} z^(m^2)/(1-z^((m+1)^2)).

Expansion of (1+z)/(1-z) - 2*Sum_{m>=1} z^(m^2)/(1-z^((m+1)^2)).

Number of proper factorizations of p1^n*p2^2, where p1 and p2 are distinct primes.

Number of proper factorizations of p1^n*p2^3, where p1 and p2 are distinct primes.

Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.

Number of proper factorizations of p1^n*p2^5, where p1 and p2 are distinct primes.

Number of proper factorizations of p1^n*p2^6, where p1 and p2 are distinct primes.

Number of proper factorizations of p1^n*p2^7, where p1 and p2 are distinct primes.

Difference between n-th prime and (n+2)-nd prime.

Record differences between n-th prime and (n+2)-nd prime.

Lower prime of a record difference between it and the second prime after it.

Upper prime of a record difference between it and the second prime before it.

Incorrect version of A091967.

Weight distribution of [ 48,17,12 ] dual Rao-Reddy code.

Weight distribution of [48,23,8] Rao-Reddy code.

Numbers k such that 1^5 + 2^5 + ... + k^5 is a square.

Number of letters in English words for months of year.

Position of rightmost 0 in 2^n increases.

Position of rightmost digit 0 in 2^A031140(n).

Position of rightmost 0 (including leading 0) in 2^n increases.

Position of rightmost 0 (including leading 0) in 2^A031142(n).

Numbers n such that n! has a record number of zeros.

Factorials with a record number of zeros.

Exponent of the least power of 2 having exactly n zeros in its decimal representation.

Smallest power of 2 containing exactly n zeros.

Number of series-reduced planted trees with n leaves of 2 colors and no symmetries.

Numbers whose square with its last digit deleted is also a square.

Appending a digit to n^2 gives another perfect square.

Squares composed of digits {1,2,5}.

Squares composed of digits {2,4,5}.

Numbers k such that k^2 contains only digits {1,2,5}.

Numbers k such that k^2 contains only digits {2,4,5}.

a(n) = 2^A031140(n).

a(n) = 2^A031142(n).

Numbers that are both lucky and prime.

Twin lucky numbers (lower terms).

Twin lucky numbers (upper terms).

Twin lucky numbers (middle terms).