105731

Appears in sequences

• Consider all integer triples (i,j,k), j >= k > 0, with i^3 = binomial(j+2,3) + binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=23A054208
• Expansion of g.f.: (1 + x)/(1 - 10*x + x^2).at n=5A054320
• Triangle read by rows: a(n,m) = T[n,m,m] where T[i,j,k] is the 3-dimensional pyramid defined by T[n,m,0]=1 and T[i,j,k]=0 if j>i or k>j and T[i,j,k]=T[i-1,j,k]+T[i,j-1,k]+T[i,j,k-1].at n=41A065078
• Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function.at n=28A079630
• Ratio-dependent insertion sequence I(0.36704) (see the link below).at n=10A085376
• Numerators of continued fraction convergents to sqrt(3/2).at n=10A142238
• a(0)=a(1)=1, a(2)=6, a(3)=11; a(n+4) = 10*a(n+2) - a(n).at n=11A152448
• Square root of floor(A055851(n)/6).at n=18A204519
• Integers m such that m^3 is the sum of two or more consecutive integer squares.at n=28A212018
• Denominators of the other-side convergents to sqrt(6).at n=10A259594
• Expansion of Product_{k>=1} ((1-x^(5*k))/(1-x^k))^k.at n=21A285263