38962

Appears in sequences

• Expansion of g.f. x*(1 + x)*(1 + 6*x + x^2)/(1 - x)^7.at n=10A006858
• Kaprekar numbers: positive numbers n such that n = q+r and n^2 = q*10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n != 10^a, a >= 1.at n=19A006886
• a(n) = n^2*(n^2 - 1)/6.at n=22A008911
• The full list of 6-Kaprekar numbers.at n=2A053397
• (Prime(prime(n))^2-1)/24.at n=36A092772
• Triangular Kaprekar-like numbers: numbers k such that the base-10 representation of T(k) = k*(k+1)/2 is the concatenation of two numbers x and y such that x + y = k.at n=40A110939
• Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-3.at n=18A180293
• Kaprekar numbers, allowing powers of 10: n such that n=q+r and n^2=q*10^m+r, for some m >= 1, q>=0 and 0<=r<10^m.at n=23A248353
• a(n) is the number of subsets of {1..n} that contain exactly 3 odd and 1 even numbers.at n=45A333319
• Kaprekar numbers according to the definition in A006886 that are not in A053816.at n=2A382160
• Numbers k such that sigma(k) = psi(k) + tau(k)^2.at n=34A390296