49537

Properties

Appears in sequences

• Primes that are palindromic in base 6.at n=34A029974
• Primes p such that sum of squares of even-position digits equals the sum of squares of odd-position digits of p.at n=19A076168
• Let p run through the primes; write p in base 10 and then interpret it in base 128 getting a number q; if q is prime then adjoin q to the sequence.at n=14A090718
• Number of partitions of 3-smooth numbers into parts not greater than 3.at n=37A117220
• Expansion of g.f. (1 +x^2)/((1-x)^2*(1 -3*x +2*x^2 -x^3)).at n=11A136303
• Primes p such that the left prime neighbors p1, p2 of p as well as the right prime neighbors q1, q2 of p form twin prime pairs and the sum p1 + p2 + p + q1 + q2 is also prime.at n=28A138396
• Primes of the form 384*k + 1.at n=34A229854
• Primes whose base-6 representation also is the base-3 representation of a prime.at n=25A235469
• Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape X; triangle T(n,k), n>=0, read by rows.at n=31A247711
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 65", based on the 5-celled von Neumann neighborhood.at n=41A270085
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 187", based on the 5-celled von Neumann neighborhood.at n=7A270674
• Primes that can be generated by the concatenation in base 7, in ascending order, of two consecutive integers read in base 10.at n=38A287308
• Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=13A298315
• a(n) is the number of points in the interior of the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter).at n=9A334690
• Prime numbersat n=5090