30624
domain: N
Appears in sequences
- Nonnegative integers n such that n^2*(n+1)*(2*n+1)^2*(7*n+1)/36 is a square.at n=8A007750
- Even bisection of A007750.at n=4A007751
- Irreducible Euler sums of weight 8 and depth 10+2n.at n=15A031164
- Numbers n such that Sum_{k=1..n} d(k) is an integer where d(k) is the decimal fraction 0.k (e.g. d(999)=0.999).at n=7A054464
- Jacobi form of weight 12 and index 1 for Niemeier lattice of type E_6^4 or A_11 D_7 E_6.at n=7A055757
- Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp(x*y)*log(1+x)/(1-x).at n=29A073480
- Numbers k such that k divides tau(k) and k+1 divides tau(k+1), where tau(k)=A000594(k) is Ramanujan's tau function; i.e., k and k+1 are in A063938.at n=36A079334
- a(n) = n!*Sum_{i=1..n-1} (-1)^(i+1)/i.at n=6A087301
- Sum of all proper base 4 numbers with n digits (those not beginning with 0).at n=3A121544
- a(n) = 6*a(n-1) - 8*a(n-2), for n > 2, with a(0) = 1, a(1) = 6, a(2) = 27.at n=7A171475
- Numbers k such that both k+1 and 7k+1 are squares.at n=4A195917
- Number of n X 3 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=34A223833
- Number of (n+1) X (1+1) 0..3 arrays with the upper median equal to the lower median in every 2 X 2 subblock.at n=3A235850
- Number of (n+1)X(4+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock.at n=0A235853
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock.at n=6A235856
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock.at n=9A235856
- Number of ternary words of length n avoiding the pattern 11-11.at n=10A241574
- Numbers n such that n*2^2281 - 1 is prime.at n=28A265504
- G.f. A(x) satisfies A(x)^2 = 1 + x + x*A(x)^9.at n=6A295538
- a(n) = [x^n] Product_{k>=2} 1/(1 - x^k)^n.at n=11A319670