226843

Properties

Appears in sequences

• Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=20A005339
• a(n) = ((1+4*sqrt(2))*(5+sqrt(2))^n + (1-4*sqrt(2))*(5-sqrt(2))^n)/2.at n=6A164301
• Primes of the form 5n^2 - 2.at n=20A201784
• Primes of the form 2*n^2 + 90*n + 43.at n=21A217621
• G.f.: A(x,y) = Sum_{n>=0} x^n * ((1+x)^n + y)^n, where A(0) = 0, as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y) = Sum_{n>=0} x^n * Sum_{k=0..n} T(n,k)*x^n*y^k, read by rows.at n=71A325580
• Prime numbersat n=20172