25639

Properties

Appears in sequences

• Base-8 Armstrong or narcissistic numbers (written in base 10).at n=18A010354
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=40A024480
• Number of partitions of n in which the number of parts divides n.at n=51A067538
• Balanced primes of order six.at n=22A096698
• Prime sums of 4 positive 5th powers.at n=16A123033
• G.f.: 1/(1+2*x-9*x^2-10*x^3+5*x^4).at n=8A124024
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 0100-1111-0100 pattern in any orientation.at n=11A146376
• Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0100-1111-0100 pattern in any orientation.at n=25A146378
• Base 8 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-8 digits, for some k.at n=39A162231
• Greatest integer equal to the sum of the n-th powers of its base-8 digits (written in base 10).at n=5A162233
• List of Armstrong (narcissistic) numbers in base 8 that are prime (written in base 10).at n=6A180015
• Number of 0..n arrays x(0..10) of 11 elements with zero 6th differences.at n=33A200447
• Primes of the form 6*p + 1 with p prime that are also of the form x^2 + 27*y^2 and congruent to 7 mod 24.at n=28A256172
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=9A267028
• Number of 5Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.at n=9A297302
• a(n) = Sum_{k=1..n} floor(n/k)^k.at n=24A345176
• Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3.at n=30A385188
• Prime numbersat n=2824