119025
domain: N
Appears in sequences
- a(n) = (10*n + 5)^2.at n=34A017330
- a(n) = (11*n + 4)^2.at n=31A017438
- a(n) = (12*n + 9)^2.at n=28A017630
- a(n) = x^2 = A090116(n)^2 is the least square that is "surrounded" by two closest primes, by prevprime(x^2) and nextprime(x^2) whose difference nextprime - prevprime = 2n.at n=26A090117
- a(n) is the smallest nonprime k such that tau(k + n) = tau(k) + n , where tau(n) is the number of divisors of n (A000005).at n=44A099642
- Squares of second pentagonal numbers: a(n) = (1/4)*n^2*(3*n+1)^2.at n=15A100256
- Squares which are anagrams of cubes.at n=16A161860
- Numbers that are the squares of the product of three distinct primes.at n=35A162143
- Totally multiplicative sequence with a(p) = 8p-1 for prime p.at n=35A166657
- Squares n with digit 1 that remain positive square after omitting all 1's from n.at n=9A176899
- Squares k such that gcd(sigma(k),usigma(k)) > 1, where usigma is A034448.at n=30A193003
- Expansion of e.g.f.: exp(9*x/(1-4*x)) / sqrt(1-16*x^2).at n=4A202836
- Number of permutations (p(1), p(2), ..., p(n)) satisfying -k <= p(i)-i <= r and p(i)-i not in the set I, i=1..n, with k=2, r=6, I={-1,1,2,3,4,5}.at n=40A224808
- Odd half-Zumkeller numbers.at n=18A246199
- Number of (n+1) X (1+1) 0..4 arrays with nondecreasing maximum of every two consecutive values in every row and column.at n=2A250827
- Number of (n+1)X(3+1) 0..4 arrays with nondecreasing maximum of every two consecutive values in every row and column.at n=0A250829
- T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with nondecreasing maximum of every two consecutive values in every row and column.at n=3A250832
- T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with nondecreasing maximum of every two consecutive values in every row and column.at n=5A250832
- Odd numbers of the form (m*k)^2/(m^2-k^2) for distinct integers m and k.at n=45A259288
- a(n) is the smallest number k such that tau(k + n) = tau(k) + n where tau(n) is the number of divisors of n (A000005).at n=45A305196