31741

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 75.at n=25A020414
• Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=20A023310
• Smallest difference > 1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 11.at n=9A082122
• a(n) = 60*n^2 + 1.at n=23A158673
• Expansion of 1/(1 - 3*x + x^2 - 2*x^3 + 2*x^4).at n=10A176880
• Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-3,0,1,2}.at n=13A189595
• The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}.at n=3A215719
• Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nX5 array.at n=2A218807
• T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nXk array.at n=23A218810
• Hilltop maps: number of 3Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 3Xn array.at n=4A218812
• Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=37A224502
• Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent.at n=6A224584
• Number of (n+6)X13 0..1 matrices with each 7X7 subblock idempotent.at n=3A224587
• Partitions with parts repeated at most twice and repetition only allowed if first part has an odd index (first index = 1).at n=57A227134
• Number of terms of A182116 between 2^n and 2^(n+1).at n=60A242435
• Primes 8k + 5 preceding the maximal gaps in A269513.at n=14A269514
• Start with a(0) = a(1) = 1. If a(n) = n is the rightmost term defined so far, let a(m) = m := n + a(n-1). If the terms between a(n) and a(m) are undefined, let a(n+1) = a(n) + a(m) and if m > n+1, a(m-1) = a(n+1) + a(m).at n=37A333375
• Number of compositions (ordered partitions) of n into an odd number of cubes.at n=57A339421
• Emirps p such that (p*q) mod (p+q) is also an emirp, where q is the digit reversal of p.at n=36A355651
• a(n) = n*2^10 - 3.at n=30A362361