19249

Properties

Appears in sequences

• a(n) = Sum_{k=1..n} floor(k^4/n).at n=16A014819
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 90 ones.at n=14A031858
• Odd k for which k+2^m is composite for all m < k.at n=11A033919
• Decimal part of cube root of a(n) starts with 8: first term of runs.at n=25A034134
• Prime numbers that are the sum of the first k lucky numbers, A046279(k), for some k.at n=7A046281
• Numbers k such that k*2^m+1 are composites for all exponents m in the range 0<=m<=k.at n=35A061153
• Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=30A091365
• Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=23A119596
• Prime numbers p such that p +- ((p-1)/4) are primes.at n=21A137705
• Primes congruent to 15 mod 59.at n=35A142742
• Primes congruent to 34 mod 61.at n=33A142832
• Numbers n such that n-+1 are divisible by exactly 6 primes, counted with multiplicity.at n=21A157486
• Primes p such that p*(p-1)/2-5 and p*(p-1)/2+5 are also prime numbers.at n=37A164623
• Emirps with a single 2 as the only prime digit.at n=30A179033
• Primes p congruent to 1 mod 12 such that (p + 1)/2 does not divide the numerator of the Bernoulli number B(p + 1).at n=22A232039
• Primes of the form p(k)^2 + q(m)^2 with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009).at n=51A233346
• Start with a(1) = 1, a(2) = 3, then a(n)*2^k = a(n+1) + a(n+2), with 2^k the smallest power of 2 (k>0) such that all terms a(n) are positive integers.at n=43A233526
• Cardinality of the Weyl alternation set corresponding to the zero-weight in the adjoint representation of the Lie algebra of so(2n).at n=10A234598
• Number of Dyck paths of semilength n having exactly 8 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=5A243878
• Table read by rows: each row represents the constant and exponent of a Colbert number.at n=8A258074