31489

Properties

Appears in sequences

• Number of Twopins positions.at n=27A005691
• a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=37A010013
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=32A031860
• Number of binary bit strings of length n with no block of 8 or more 0's. Nonzero heptanacci numbers, A122189.at n=16A066178
• Expansion of (1+2*x^3)/(1-x+x^3-2*x^4).at n=39A103750
• Primes of the form 512n+257.at n=11A105131
• Prime Fibonacci 7-step numbers, A066178.at n=2A105761
• Where records appear in A109734.at n=40A109740
• Heptanacci numbers: each term is the sum of the preceding 7 terms, with a(0),...,a(6) = 0,0,0,0,0,0,1.at n=22A122189
• Smallest prime p such that p divides m^(m+1)+1, where m = (p-2n-1)/(2n).at n=31A123571
• If an array is made of columns of -nacci sequences, fibo-, tribo- etc. all starting w. 1,1,2 etc, the NW to SE diagonals can be extended by computation. The above is diagonal 11. See A159741 for details.at n=5A159748
• Primes of the form k * m^m + 1 with k < m^m.at n=32A180362
• Primes of the form 256*k + 1.at n=23A208178
• Numbers n such that 2*n + {3, 5, 9, 11} are all primes.at n=27A222960
• Primes p such that p+q+1 is the square of a prime, where q is the next prime after p.at n=14A225809
• Primes in the union of all n-Fibonacci sequences.at n=21A227880
• Primes of the form 384*k + 1.at n=25A229854
• Primes p with same last two digits as k, where prime(k) = p.at n=34A232102
• Expansion of -(x*sqrt(-4*x^2-4*x+1)-2*x^2-3*x) / ((x+1)*sqrt(-4*x^2-4*x+1)+ 4*x^3+8*x^2+3*x-1).at n=8A240688
• Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=28A242384