316251
domain: N
Appears in sequences
- Binomial coefficient C(6n,n-5).at n=4A004360
- Binomial coefficients C(n,50).at n=4A017714
- Binomial coefficients C(54,n).at n=4A017770
- Binomial coefficients C(2*n+4,4).at n=25A053134
- a(n) = binomial(sigma(n),tau(n)), where sigma(n) is the sum and tau(n) the number of divisors of n (A000203, A000005).at n=33A068904
- Number of positions that are exactly n moves from the starting position in the Lights Out Cube puzzle.at n=4A079876
- a(n) = Sum_(i=1..n) binomial(i+2,3)^2 [ Sequential sums of the tetragonal numbers or "tetras" (pyramidal, square) raised to power 2 (drawn from the 4th diagonal - left or right - of Pascal's Triangle) ].at n=11A086020
- Triangle, read by rows, where T(n,k) = C( C(n+2,3) - C(k+2,3) + 2, n-k) for n>=k>=0.at n=23A126454
- a(n) = A001512(n)/24 = (5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24.at n=10A151989
- One-half of averages of twin prime pairs of A001318.at n=34A154565
- a(n) = C(2*3^(n-1), n).at n=4A179432
- a(n) = binomial(10*n+5,n)/(2*n+1).at n=5A234528
- Number of 5-member subsets of [5*n] whose elements sum to a multiple of n.at n=11A318626