18300

Appears in sequences

• High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on cubic lattice with nearest-neighbor interaction J at temperature T.at n=4A010571
• Fibonacci sequence beginning 0, 30.at n=15A022364
• Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=27A126077
• Number of permutations of 1..n containing the relative rank sequence { 136425 } at any spacing.at n=3A159105
• Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949.at n=51A164732
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+479)^2 = y^2.at n=7A207075
• Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x^2+y^2+z^2.at n=12A212093
• G.f. satisfies: A(x) = 1/A(-x*A(x)^8).at n=5A214768
• Number n such that a2 - n^3 is a triangular number (A000217), where a2 is the least square above n^3.at n=34A233400
• a(n) = 4*n*(n^2 - 3*n - 1)/3.at n=25A275876
• Numbers n such that A277118(n) = 15.at n=4A277512
• Numbers k such that k+1 is a prime, k+2 is twice a prime, and k+3 is three times a prime.at n=38A278583
• Numbers i such that Fibonacci(i) is divisible by i, i+1, and i+2.at n=27A298684
• Numbers i such that Fibonacci(i) is divisible by i, i+1, i+2, and i+3.at n=10A298685
• Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=7A299549
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=47A299554
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=52A299554
• Sum of the fifth largest parts in the partitions of n into 6 parts.at n=50A308869
• Expansion of Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - j*x^j).at n=28A318770
• a(n) = 2*n*Fibonacci(n) + (-1)^n + 1.at n=15A324128