166753
domain: N
Appears in sequences
- a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=17A002593
- Lexicographically earliest sequence of pairwise coprime triangular numbers.at n=26A034792
- Triangular numbers whose reverse is prime.at n=30A066751
- Expansion of 1/sqrt(1-2x-11x^2+12x^3).at n=10A098478
- Transform of n^3 by the Riordan array (1/(1-x^2), x).at n=33A105636
- Triangular numbers for which the number of divisors is also a triangular number.at n=34A116541
- Hexagonal numbers whose number of divisors is also a hexagonal number.at n=11A116565
- Expansion of 1/(1+x^2-x^3+x^4).at n=56A129903
- Norm of coefficients in the expansion of 1/(1 - 2*x - i*x^2), where i is the imaginary unit.at n=8A218134
- Triangular numbers of the form p*w, where p is a prime number and w is a prime power (A025475).at n=21A225674
- Triangular arithmetic on half-squares: b(n)*(b(n) - 1)/2 where b(n) = floor(n^2/2).at n=34A227970
- Triangular numbers T such that sum of the factorials of digits of T is prime.at n=36A242831
- Triangular numbers that are the product of a square number and a prime number.at n=25A253653
- a(n) = n^2*(2*n^2 + (-1)^n).at n=17A275496
- Triangular numbers having exactly 6 divisors.at n=10A292989
- Terms k of A228058 for which A325814(k) is a multiple of A034460(k).at n=4A325822