45119

Properties

Appears in sequences

• sech(sin(arctanh(x)))=1-1/2!*x^2+1/4!*x^4-1/6!*x^6+449/8!*x^8...at n=5A012062
• Decimal part of cube root of a(n) starts with 6: first term of runs.at n=33A034132
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264].at n=37A078848
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,6).at n=9A078949
• Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=27A138735
• Lesser of twin primes p1 such that p1^3 + p2^2 are average of twin primes. p1 and p2 twin primes, p1 < p2.at n=5A139778
• Number of peaks in the peak plateaux of all Dyck paths of semilength n.at n=10A143954
• Primes of the form 5n^2 - 6.at n=9A201787
• Smallest lesser of twin primes (A001359) with index n, or a(n)=0, if there are no such twin primes.at n=29A242807
• a(n) is the smallest prime having exactly n consecutive primitive roots.at n=19A261438
• Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=12A299569
• Primes p such that p + 2, p + 8, p + 12, p + 18 and p + 20 are also primes.at n=3A383393
• Prime numbersat n=4682