30080

Appears in sequences

• Square array where T(n,k) = Sum_{j=0..k} C(n+2*j,j)*C(n+2*j,k-j), read by antidiagonals.at n=35A137634
• a(n) = Sum_{k=0..n} C(2k,k)*C(2k,n-k); equals row 0 of square array A137634.at n=7A137635
• Eigentriangle by rows, n terms of (5 * A084057) followed by A084057(n).at n=43A143969
• Triangle T(n,k) = Number of k-cycles on the graph of an n-orthoplex. n>=2, k>=3.at n=23A167986
• Number of length n+4 0..3 arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=4A249839
• T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=25A249844
• Number of length 5+4 0..n arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=2A249849
• Number of perfect cube parts in all partitions of n.at n=31A264392
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood.at n=14A281631
• Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^2.at n=43A298435
• The numbers k for which gcd(k, phi(k)) + gcd(k, tau(k)) = gcd(k, sigma(k)).at n=5A326416
• Numbers k such that k*A001414(k)+1 is the square of a prime.at n=26A343141
• Numbers k for which A003415(k) >= A276086(k) > k, where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.at n=11A351229
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2*j,j) * binomial(k*j,n-j).at n=52A361830
• Difference between larger and smaller term of n-th psi-amicable pair, sorted by the smaller members from A323329.at n=38A387643
• Numbers k such that A322582(k) <= A276086(k) <= A348507(k).at n=37A392602