30949

Properties

Appears in sequences

• Decimal part of n-th root of a(n) starts with digit 6.at n=20A034083
• Numerators of continued fraction convergents to sqrt(614).at n=8A042178
• Expansion of 1/(1-3*x-2*x^2-3*x^3).at n=8A077830
• a(n) = n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.at n=6A088582
• Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.at n=4A088583
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 11: primes in A146335.at n=35A146356
• Primes of the form 2*n^2 + 22*n + 9.at n=17A154601
• Number of inequivalent n X 3 binary matrices, where equivalence means permutations of rows or columns or the symbol set.at n=17A246148
• Number of (n+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=5A252803
• Number of (n+2) X (6+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=5A252809
• Non-palindromic balanced primes in base 16.at n=42A256090
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 403", based on the 5-celled von Neumann neighborhood.at n=36A271809
• Primes p such that A001175(p) = (p-1)/6.at n=38A308791
• A(n, k) is the k-th number b > 1 such that b^(prime(n+i)-1) == 1 (mod prime(n+i)^2) for each i = 0..3, with k running over the positive integers; square array, read by antidiagonals, downwards.at n=30A319061
• Number of integer partitions of n whose unsigned differences have the same GCD as the GCD of their parts all minus 1.at n=39A328164
• Number of integer partitions of n whose number of nontrivial submultisets is greater than their number of distinct parts times their number of parts minus 1.at n=39A328960
• Quotients obtained when sigma(k) divides antisigma(k) with k = A076617(n), sigma (A000203) is the sum of divisors function and antisigma (A024816) is the sum of the non-divisors of n less than n function.at n=27A353000
• Primes having only {0, 3, 4, 9} as digits.at n=40A386060
• a(n) = greatest prime less than prime(n)*prime(n+1).at n=39A391805
• Prime numbersat n=3337