33630

Appears in sequences

• a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5).at n=17A027659
• Number of nonsquare rectangles on an n X n board.at n=18A052149
• a(n) = (4n-2)*a(n-1)+a(n-2) with a(0)=1 and a(1)=2.at n=5A079165
• Square array read by antidiagonals of T(n,k)=(4k-2)*T(n,k-1)+T(n,k-2) with T(n,0)=1 and T(n,1)=n.at n=30A079166
• Third column of second-order Eulerian triangle A008517 divided by 2.at n=6A112498
• Overlay of Pell numbers: a(n)=A000129(n)+A000129(n-6).at n=13A131710
• Number of -n..n arrays x(0..4) of 5 elements with zero sum and no element more than one greater than the previous.at n=21A199849
• Number of days after Jan 01 1000 such that the date written in the format DDMMYYYY is palindromic.at n=30A210885
• Number of (n+1) X (2+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=7A239531
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.at n=43A239537
• Alternating sum of 9-gonal (or decagonal) pyramidal numbers.at n=38A269440
• The index of prime(n) in A337182.at n=34A338222
• a(n) is the first number k such that there are exactly n primes of the form k + A - B where A and B are sums of subsets of the prime factors of k.at n=19A345316
• a(1) = 1; a(n) = 1 + a(n-1) + Sum_{k=2..n} a(floor(n/k)).at n=45A351621
• a(n) = ((1 - sqrt(2))^n + (1 + sqrt(2))^n)*n/2.at n=10A364636