18378360

Appears in sequences

• Least common multiple of cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutations A072088/A072089.at n=8A086591
• Members of A097212, excluding highly composite numbers (A002182).at n=13A097213
• Where records occur in A018892.at n=41A126098
• Fourth column (m=3) of the Laguerre-Sonin a=1/2 coefficient triangle.at n=5A130563
• Number of length-7 0..k arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree").at n=10A215230
• a(n) = the smallest number k such that Sum_{d|k} 1/tau(d) >= n.at n=31A237350
• a(n) = the smallest number k such that floor(Sum_{d|k} 1/tau(d)) = n.at n=31A265393
• Semi-unitary highly composite numbers: where the number of semi-unitary divisors of n (A322483) increases to a record.at n=19A322484
• Denominator of Sum_{k=1..n} 1/(k*(prime(k+1)-prime(k))).at n=16A324801
• Smallest number whose divisors have n non-singleton runs.at n=21A328510
• Tri-unitary highly composite numbers: where the number of tri-unitary divisors (A335385) increases to a record.at n=9A335386
• Least integers of their prime signature (A025487) whose average number of distinct prime factors of their divisors is an integer.at n=15A346015
• Integers whose number of divisors that are triangular numbers sets a new record.at n=26A350756
• Positions of records in A351532, divided by 3.at n=36A351694
• Numbers with a record number of exponentially squarefree divisors.at n=30A365681
• Numbers that have more biquadratefree divisors than any smaller number.at n=27A377140
• Numbers k that have a record number of divisors d such that gcd(d, k/d) is an exponentially odd number (A268335).at n=27A377708
• Numbers that have a record number of infinitary divisors that are exponentially odd numbers (A268335).at n=19A377710
• Triangle T(n, k) read by rows: T(n, k) = 2^n*binomial(2*n + 1, 2*k + 1) * Pochhammer(1/2, n - k) * Pochhammer(1/2, k).at n=43A380281