152100
domain: N
Appears in sequences
- a(n) = (11*n + 5)^2.at n=35A017450
- Sigma(n) / d(n) is a perfect square associated with A049226.at n=27A049227
- Sigma(n) / d(n) is a perfect square associated with A049226.at n=28A049227
- (Terms in A014738)/4.at n=18A051515
- Partial sums of A007587.at n=23A051799
- Denominator of 1/36 - 1/n^2.at n=64A061046
- Numbers k such that Sum_{d|k} d/core(d) > 2*k, where core(d) is the squarefree part of d.at n=30A069266
- k^2 is a term if k^2 + (k-1)^2 and k^2 + (k+1)^2 are primes.at n=15A075577
- Smallest square divisible by the n-th triangular number (n(n+1)/2).at n=38A085037
- (a(2n+1)+a(2n))^2 = a(2n+1) a(2n) (concatenated, not multiplied).at n=40A112268
- a(n) = n^2*(n^2 - 1)/3.at n=26A112742
- Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains the group sums.at n=35A114031
- Squares for which the sum of the digits, the product of the digits, the digital root and the multiplicative digital root are all squares.at n=26A117680
- a(n) = ( (2^n / n!) * Product_{k=0..n-1} (4*k + 1) )^2.at n=4A127776
- a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.at n=19A139033
- Number of n X 6 binary arrays without the pattern 0 1 diagonally or vertically.at n=13A188840
- Numbers with prime factorization p^2*q^2*r^2*s^2 where p, q, r, and s are distinct primes.at n=2A190377
- Squares k such that gcd(sigma(k),usigma(k)) > 1, where usigma is A034448.at n=34A193003
- Right part of the square of the n-th Kaprekar number.at n=27A194219
- v(n+1)/v(n), where v=A203773.at n=4A202945