72072

Appears in sequences

• a(n) = (2n+3)! /( n! * (n+1)! ).at n=5A000911
• Expansion of (1+6*x)/(1-4*x)^(7/2).at n=5A007744
• Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=27A008556
• a(n) = 7*(n+1)*binomial(n+2,7)/2.at n=6A027780
• Denominator of (1/n)*Sum_{k=0..n-1} 1/binomial(n-1,k) for n>0 else 1.at n=15A046879
• E.g.f.: (log(1-x))^2/(1+log(1-x)).at n=7A052864
• Denominator of the n-th alternating harmonic number, Sum_{k=1..n} (-1)^(k+1)/k.at n=14A058312
• Coefficient triangle of certain polynomials N(5; m,x).at n=41A062190
• T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows.at n=41A063007
• Numbers expressible as (a^2-1)(b^2-1) in at least 2 distinct ways (b>=a>1).at n=34A063067
• Denominators of Sum_{k=1..n} 1/lcm(n,k).at n=14A074949
• a(n) is the least number with n palindromic divisors.at n=26A087997
• T(n,k) = binomial(n,2*k)*binomial(2*k,k) for 0 <= k <= n, triangle read by rows.at n=96A089627
• Third to last entries in rows of array A090452 (scaled (3,2)-Stirling2).at n=6A091031
• Numbers that can be expressed as the difference of the squares of primes in exactly nine distinct ways.at n=7A092005
• Number of palindromic divisors of a(n) sets a new record.at n=17A093036
• Product of next n numbers divided by n.at n=4A094330
• a(n) = binomial(n+3,n)*binomial(n+8,n).at n=5A104671
• a(n) = C(n+5,5)*C(n+10,5).at n=3A104679
• Triangle read by rows: T(n,k) is the number of lattice paths from (0,0) to (n,n) using steps E=(1,0), N=(0,1) and D=(1,1) (i.e., bilateral Schroeder paths), having k D=(1,1) steps.at n=39A104684