26713

Properties

Appears in sequences

• Class numbers associated with terms of A001986.at n=29A001987
• Expansion of e.g.f.: exp(arcsin(tan(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+76/5!*x^5...at n=8A012075
• cosh(arcsin(tan(x)))=1+1/2!*x^2+13/4!*x^4+421/6!*x^6+26713/8!*x^8...at n=4A012084
• sec(arcsin(sinh(x)))=1+1/2!*x^2+13/4!*x^4+421/6!*x^6+26713/8!*x^8...at n=4A012109
• Expansion of e.g.f. exp(arctanh(sinh(x))).at n=8A012261
• Row sums of (unsigned) staircase array A062746.at n=4A062747
• Prime(n) and prime(n+4) use the same digits.at n=25A069796
• 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=[4, 6,6]; short d-string notation of pattern = [466].at n=33A078852
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,6,2).at n=11A078956
• a(n) = 15*n^2 + 6*n + 1.at n=42A080861
• Balanced primes of order four.at n=34A082079
• Records in A001987.at n=11A094846
• Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=23A109748
• E.g.f.: exp(x*(1 - x^3 + x^4)/(1-x)).at n=7A113237
• a(n) = 74*n^2 - 1.at n=18A158744
• 1/4 the number of n X n arrays of squares of integers with every 2X2 subblock summing to 27.at n=11A159227
• Let p_(4,1)(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_(4,1)(m) such that the interval(p_(4,1)(m)*n, p_(4,1)(m+1)*n) contains exactly one prime == 1 (mod 4).at n=36A210475
• Number of (n+1) X (2+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.at n=4A232070
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.at n=19A232076
• Number of (5+1)X(n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.at n=1A232081