30871

Properties

Appears in sequences

• Primes that are palindromic in base 5.at n=37A029973
• Number of positive integers <= 2^n of form 2 x^2 + 9 y^2.at n=18A054159
• Second term of weak prime sextet: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=10A054829
• Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=25A106300
• Triangle of coefficients of (1 - x)^n*B_n(x/(1 - x)), where B_n(x) is the n-th Bell polynomial.at n=60A122753
• a(n) = 70*n^2 + 1.at n=21A158734
• a(n) = 3^(n-1) + C(2*n, n)/2.at n=8A191993
• Primes from merging of 5 successive digits in decimal expansion of sqrt(2).at n=29A198165
• Primes of the form 2*n^2 + 34*n + 15.at n=10A217494
• Number of partitions of n^2 into at most 9 square parts.at n=36A255213
• Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than four.at n=10A287583
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)^2, where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=14A296249
• a(n) = Sum_{k = 0..n} (-1)^(n+k)*binomial(n, k)*binomial(n+k, k)*A108625(n, n-k).at n=6A376459
• Prime numbersat n=3330