17965

Appears in sequences

• MacMahon's solid partitions of n in which 4 is the smallest summand.at n=13A002045
• a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=38A051956
• Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=30A075892
• A000041(n)-A000010(n).at n=35A086739
• Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square.at n=18A088319
• a(n) = number of n-digit terms in A108571.at n=9A127007
• a(n) is the smallest semiprime such that difference between a(n) and next semiprime, b(n), is n.at n=27A131109
• a(n) = (4*n^4 - 4*n^3 - n^2 + 3*n)/2.at n=9A135400
• a(n) = least member of A006881 whose difference from the following one equals n, or 0 if no such semiprime exists.at n=27A140784
• A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 4)*Sum[(2^m + 2*m )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=57A146955
• Second entry in row n of triangle in A169940.at n=28A169943
• Least semiprime m such that the next semiprime is m + A215231(n).at n=11A215232
• Number of 9-line partitions of n (i.e., planar partitions of n with at most 9 lines).at n=17A225199
• Composites whose prime factorization in base 4 is an anagram of the number in base 4.at n=35A260048
• Number of nX4 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.at n=4A282834
• Number of nX5 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.at n=3A282835
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.at n=31A282838
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.at n=32A282838
• Number of n X 2 0..1 arrays with each 1 adjacent to 2 or 3 king-move neighboring 1s.at n=9A295979
• Number of ways to tile a 4 X n strip with squares and L-shaped heptominoes with legs of equal length.at n=17A352795