88069

Properties

Appears in sequences

• Numerators of coefficients of expansion of arctan(x)^2 = x^2 - 2/3*x^4 + 23/45*x^6 - 44/105*x^8 + 563/1575*x^10 - 3254/10395*x^12 + ...at n=7A002428
• Numerators of coefficients of log(1+x)/sqrt(1+x).at n=6A002549
• a(n) = ( 1/1 + 1/3 + 1/5 + ... + 1/(2*n-1) )*LCM(1, 3, 5, ..., 2*n-1).at n=6A025550
• Numerators of alternating sum transform (PSumSIGN) of Harmonic numbers H(n) = A001008/A002805.at n=12A035048
• Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=31A054833
• Triangle of the numerators of coefficients c(n,k) = [x^k] P(n,x) of some polynomials P(n,x).at n=29A141904
• Primes that contain all the digits {0,6,8,9} and only these digits.at n=15A156200
• Cyclops primes with circular digits {0,6,8,9}.at n=4A160561
• Numerators of Integral_{x=0..Pi/2} sin(2*n*x)*log(cosec(x)) dx.at n=14A225122
• Numerators of the expectation of the process defined by randomly moving 2n balls between bins.at n=6A233470
• Numerators of Sum_{j=0..n} 1/(2*j+1), for n >= 0.at n=6A350669
• T(j,k) are the numerators u in the representation R = s/t + (2/Pi)*u/v of the resistance between two nodes separated by the distance vector (j,k) in an infinite square lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= j, is a triangle read by rows.at n=35A355566
• Prime numbersat n=8549