49298

Appears in sequences

• Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes.at n=26A072730
• a(n) = 2*prime(n)^2.at n=36A079704
• 2*p^2, for p an odd prime.at n=35A143928
• Expansion of 2*(1 -4*x +14*x^2 +4*x^3 +9*x^4)/(1-x)^5.at n=13A173785
• The numbers n in s=n^2 + (n+1)^2 that satisfy the requirement for two consecutive squares c,d with c<d with d-c being the sum of two consecutive squares that c<s<d will give s-c and d-s both being squares.at n=30A192743
• Composite numbers k such that Sum_{i=1..t-1} d(i+1)/d(i) is prime, where d(1), ..., d(t) are the divisors of k in ascending order.at n=33A255585
• a(n) is the smallest composite k such that d(2)/d(1) + d(3)/d(2) + ... + d(q)/d(q-1) = prime(n), where d(1) < d(2) < ... < d(q) are the q divisors of k, or 0 if no such k exists.at n=37A260901
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A296295
• Where records occur in A070138.at n=37A298942
• a(n) = prime(n)*(prime(n-1) + prime(n+1)).at n=35A357679