389376

Appears in sequences

• Numbers whose sum of non-unitary divisors is a prime and sets a new record for such primes.at n=27A063760
• a(n) = Sum_{i=1..n} C(i+3,4)^3.at n=4A086024
• a(n) = ( n*(n+2) )^2.at n=24A099761
• a(n) = Sum_{k=0..n} binomial(n+k,k)^3.at n=4A112028
• Number of functions f:[n]->[n] such that f[(x^2) mod n]=[f(x)^2] mod n for all x in [n], for n=1,2,3,... Here [n] denotes {0,1,2,...,n-1}.at n=13A117988
• Squares in A145768 (XOR of squares of the numbers 1...n).at n=26A145828
• First n-digit square in the digits of the golden ratio.at n=5A185367
• Alternatively squares and cubes with prime differences.at n=26A186882
• Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.at n=7A208110
• Composite numbers whose number of proper divisors has a number of proper divisors which has a prime number of proper divisors.at n=14A223457
• a(n) = (2*n+1) * (3*n+1)^(n-2) * 4^n.at n=4A251694
• Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7.at n=9A251872
• Number of ON cells after n generations in 4-D cellular automaton defined by 4-dimensional analog of Moore neighborhood, when started with a single ON cell at generation 0.at n=27A255477
• Number of (n+2) X (6+2) 0..1 arrays with no 3 x 3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum.at n=20A258892
• Squares whose arithmetic mean of digits is 6 (i.e., the sum of digits is 6 times the number of digits).at n=9A316486
• a(n) = (24*n)^2.at n=26A325475
• Perfect powers such that the two immediately adjacent perfect powers both have an exponent greater than 2.at n=15A340642
• Numbers whose prime factors and prime signature have the same mean.at n=17A359904
• a(n) = Sum_{k = 0..n-1} binomial(n+k-1, k)^3 (same as A112028 with an extra 0 at the start).at n=5A375178
• Expansion of e.g.f. -log(1 - 2*x)/(2 * (1 + x)).at n=8A384201