35990
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=30A000447
- Even tetrahedral numbers.at n=44A015220
- Binomial coefficients C(n,58).at n=3A017722
- Binomial coefficients C(61,n).at n=3A017777
- (prime(n)-5)(prime(n)-7)(prime(n)-9)/48.at n=28A030002
- Squarefree tetrahedral numbers.at n=18A070755
- Numbers n such that 3*10^n + 4*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=8A102969
- a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 1, a(1) = 5, a(2) = 6.at n=28A105577
- Number of partitions of n which contain their signature as a subpartition.at n=41A118052
- p*(p+1)*(p+2)/6 where (p,p+2) are twin primes.at n=6A126249
- a(n) = binomial(prime(n+2), 3).at n=16A126995
- Tetrahedral numbers k*(k+1)*(k+2)/6 such that exactly two of k, k+1, and k+2 are prime.at n=8A152916
- Sequence related to Hankel transform of super-ballot numbers.at n=28A156126
- Number of (n+2)X7 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=6A204480
- Number of (n+2)X9 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=4A204482
- a(n) = binomial(3*n + 1,3).at n=19A228887
- Number of ways to choose three points on a centered hexagonal grid of size n.at n=4A240826
- Greedy-summable tetrahedral numbers.at n=34A242291
- a(n) = (32*n^3 - 2*n)/3.at n=15A267031
- Tetrahedral (or triangular pyramidal) numbers which are products of four distinct primes.at n=4A353027