44361

Appears in sequences

• Centered tetrahedral numbers.at n=40A005894
• Expansion of Product_{m>=1} (1+x^m)^6.at n=12A022571
• Numbers n such that n through n+6 are divisible by the same number of distinct primes.at n=24A045935
• Numbers n such that n through n+7 are divisible by the same number of distinct primes.at n=4A045936
• C(2*n+4,4)-C(2*n,4).at n=20A085474
• Number of n X 4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=16A207165
• Expansion of -(sqrt(x^4-4*x^3-6*x^2-4*x+1) +x^2-2*x-1)/4.at n=10A247195
• Number of length n+3 0..2 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=7A255625
• a(n) = Sum_{k=1..n} gcd(k, n)^3.at n=33A343497
• a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} gcd(x_1, x_2, n)/gcd(x_1, x_2, x_3, n).at n=32A373061