78013

Appears in sequences

• Expansion of x^2*(1+3*x+x^2-x^3+28*x^4+80*x^5)/(1-10*x^2+29*x^4-24*x^6).at n=12A122023
• a(n) = (4*n^3 + 11*n^2 + 9*n + 2)/2.at n=33A135712
• Hypotenuse C of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.at n=18A155175
• Positive numbers y such that y^2 is of the form x^2 + (x+97)^2 with integer x.at n=12A157469
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 494", based on the 5-celled von Neumann neighborhood.at n=8A272547
• Smallest positive integer m such that m, m+1, m+2, m+3 are divisible by 2n+1, 2n+3, 2n+5, 2n+7 respectively.at n=8A279259
• Composite numbers k of the form 4u+1 for which the odd part of phi(k) divides k-1.at n=32A339870
• Centered square numbers which are sphenic numbers.at n=27A380882