44711

Properties

Appears in sequences

• Numerator of Sum_{k=1..n} 1/(k * 2^k).at n=9A068566
• Least number k such that binomial(2k,k) is divisible by all squares to n squared but not (n+1) squared, or 0 if impossible.at n=45A118562
• a(1) = 1; for n>1, a(n) = the smallest number p > a(n-1) such that (a(n-1)+p)/2 is a cube.at n=34A126950
• Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=38A175513
• Number of binary words of length n containing no subword 01101.at n=16A209888
• a(n) = position of the first occurrence of n in A245714.at n=34A245723
• Primes p such that p^3 is the concatenation of two k-digit primes where k is half the number of decimal digits in p^3.at n=17A248208
• 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=25A267028
• Number T(n,k) of binary words of length n containing exactly k (possibly overlapping) occurrences of the subword 01101; triangle T(n,k), n>=0, k=0..max(0,floor((n-2)/3)), read by rows.at n=42A277751
• G.f. A(x) satisfies: A(x) = 1 + x + x^2 + x^3 + x^4 + x^5 * A(x/(1 - x)) / (1 - x)^2.at n=17A351754
• Primes with at least two identical trailing digits and at least two identical leading digits.at n=34A384015
• Prime numbersat n=4648