25831

Appears in sequences

• Number of partitions satisfying cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=43A039892
• Numbers k such that 5^k - 4 is prime.at n=10A059613
• Expansion of (1+x^4*C^3)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071753
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, -1), (0, 0, 1), (1, 0, -1)}.at n=10A148578
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 0, 1), (1, -1, -1), (1, 1, 1)}.at n=8A150357
• E.g.f.: -log( Sum_{n>=0} (-x)^(n^2) / (n^2)! ).at n=8A205804
• Composites in base 10 that remain composite in exactly four bases b, 2 <= b <= 10, expansions interpreted as decimal numbers.at n=13A256354
• Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] (1/2) * (1 / (exp(x) + exp(y) - exp(x+y))^2 - 1).at n=31A382740
• Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] (1/2) * (1 / (exp(x) + exp(y) - exp(x+y))^2 - 1).at n=32A382740
• Centered 30-gonal numbers.at n=41A389799