32509
domain: N
Appears in sequences
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=29A000447
- Odd tetrahedral numbers: a(n) = (4*n+1)*(4*n+2)*(4*n+3)/6.at n=14A015219
- Binomial coefficients C(n,56).at n=3A017720
- Binomial coefficients C(59,n).at n=3A017775
- Quasi-Carmichael numbers to base 9: squarefree composites n such that (n,2*3*5*7) = 1 and prime p|n ==> p-9|n-9.at n=7A029554
- a(n) = (117*n^2 - 99*n + 2)/2.at n=24A050408
- Integer part of log(n!)^log(n).at n=17A062421
- Nearest integer to log(n!)^log(n).at n=17A062422
- Squarefree tetrahedral numbers.at n=17A070755
- Product of first n primes that end in 9.at n=2A092611
- a(n) = Min{x : A073124(x) = 2n}.at n=45A096480
- Numbers n such that (j^k + k^j) == 0 (mod k+j), j=4 case.at n=20A114979
- a(n) = binomial(prime(n+2), 3).at n=15A126995
- a(n) = 1 if a(n-1) is prime, otherwise a(n-1) + a(n-2), with a(0) = 0 and a(1) = 1.at n=49A142878
- Tetrahedral numbers k*(k+1)*(k+2)/6 such that exactly one of k, k+1, and k+2 is prime.at n=32A144521
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, 0), (1, 0, 1), (1, 1, -1)}.at n=9A149960
- Sequence related to Hankel transform of super-ballot numbers.at n=27A156126
- Denominators of ((n+3)/(n+2)/(n+1)/n) (sorted with no repeats).at n=39A168062
- Centered 36-gonal numbers.at n=42A195316
- a(n) = binomial(3*n+2,3).at n=18A228888