35797

Properties

Appears in sequences

• Numerator of [x^(2n)] of the Taylor expansion cosh(cosec(x)-cot(x))=1 +x^2/8 +3*x^4/128 +59*x^6/15360 +871*x^8/1474560 +....at n=6A013526
• Numerators of coefficients in Taylor series for exp(tan(x)).at n=12A047691
• Primes with consecutive digits that differ exactly by 2.at n=17A048399
• 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=[4,2,6]; short d-string notation of pattern = [426].at n=19A078850
• a(n) = a(n-1)+a(n-2)+3a(n-3), with a(0)=a(1)=a(2)=1.at n=15A099213
• Primes that are a concatenation of 3, 5 and a prime.at n=29A101219
• Primes that are a concatenation of 3, 5, 7 and a prime.at n=6A101252
• Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=34A160440
• There appear to be at least n primes in the range (x-sqrt(x), x] for all x >= a(n).at n=9A189026
• Number of partitions p of n such that median(p) < multiplicity(min(p)).at n=43A240212
• Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=22A259002
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) - b(n-2), where a(0) = 3, a(1) = 5, b(0) = 1, b(1) = 2, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.at n=23A296846
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=44A328489
• Numbers k such that 30*k - 1, 30*k + 1, 30*k^2 - 1 and 30*k^2 + 1 are all prime.at n=44A359184
• Number of polycubes of size n and symmetry class BE.at n=18A376977
• Prime numbersat n=3802