19745

Appears in sequences

• arctanh(arcsin(arctan(x))) = x + 1/3!*x^3 + 17/5!*x^5 + 225/7!*x^7 + 19745/9!*x^9 + ...at n=4A012095
• Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 31 for n > 0.at n=16A101578
• G.f. satisfies: A(x) = x + x*sqrt(A(A(x)) - A(x)).at n=7A185754
• Imbalance of the sum of parts of all partitions of n.at n=30A194797
• a(k) such that A225258 column k of T(n,k) = n*k^3 - a(k) for large n.at n=36A225263
• Number of (n+1) X (2+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=22A250723
• The smallest position with nim-value n in subtract-a-square game.at n=42A297963
• Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=7A299450
• a(1) = 1, a(2) = 2; for n >= 3, a(n) = (n-1)^3 - a(n-1) - a(n-2).at n=38A361134
• Lesser of 2 successive sphenic numbers (k, k+4) sandwiching 3 consecutive nonsquarefree numbers.at n=27A363830