29925

Appears in sequences

• Expansion of e.g.f.: sech(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5...at n=7A013080
• Numbers that define integer Heronian triangles [a(n), prime(a(n)), A068968(n)] with area A068969(n).at n=36A068967
• a(n) = (4*n+3)*(4*n+7).at n=42A085027
• Triangle read by rows: T(n,k) is the number of nonroot nodes of outdegree k (0<=k<=n-1) in all non-crossing trees with n edges.at n=40A100400
• Number of ways to build a contiguous building with n LEGO blocks of size 3 X 3 on top of a fixed block of the same size.at n=2A123835
• T(n,k) = (q*Sum_{j=0..k+1} (-1)^j*binomial(n+1, j)*(k+1-j)^n - p*binomial(n-1, k))/2 where p=12 and q=14.at n=30A141697
• T(n,k) = (q*Sum_{j=0..k+1} (-1)^j*binomial(n+1, j)*(k+1-j)^n - p*binomial(n-1, k))/2 where p=12 and q=14.at n=33A141697
• a(n) = (8*n+3)*(8*n+7).at n=21A146301
• a(n) = E(k)*C(n+k,k) = Euler(k)*binomial(n+k,k) for k=4.at n=17A154286
• Numbers k such that 64*k^6 + 1091 is prime.at n=30A155809
• a(n) = prime(n)^2-4.at n=39A166010
• Quintisection A061037(5*n-2).at n=35A174850
• Number of partitions of n containing a clique of size 1.at n=39A183558
• The hyper-Wiener index of the Kneser graph K(n,2) (n>=5).at n=16A228307
• a(n) = binomial(floor(n/2),4) + (ceiling(n/2)-3)*binomial(floor(n/2),3).at n=42A234277
• Odd numbers k such that A162296(k) > 2*k.at n=16A357607
• Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.at n=4A368697
• a(n) is the smallest integer k such that [1,2,...,k] contains a set of n but no more disjoint consecutive subsequences, each having element sum k.at n=23A378718
• Number of compositions of n with parts in standard order.at n=19A383253
• Centered truncated cube numbers: a(n) = (46*n^3 - 69*n^2 + 29*n - 3)/3.at n=12A390140