49875

Appears in sequences

• 5th-order Patalan numbers (generalization of Catalan numbers).at n=5A025750
• A convolution triangle of numbers obtained from A025750.at n=10A049223
• Expansion of (1-25*x)^(-9/5).at n=3A049397
• Odd numbers k such that abs(sigma(k)-2k) <= sqrt(k). Abundance-radius = abs(sigma(k)-2k) does not exceed square root of k and k is odd.at n=25A087415
• Row sums of A103462.at n=11A103480
• Numbers n such that (n^6 + 1091)/4 is prime.at n=25A181112
• Least odd primitive abundant number having its prime signature.at n=11A316116
• Odd bi-unitary abundant numbers whose bi-unitary abundancy is closer to 2 than that of any smaller odd bi-unitary abundant number.at n=3A335053
• Odd infinitary abundant numbers whose infinitary abundancy is closer to 2 than that of any smaller odd infinitary abundant number.at n=5A335055
• Primitive abundant numbers version 2 (abundant numbers all of whose proper divisors are deficient numbers) and increasing any prime factor in the prime factorization gives a non-abundant number when factored back.at n=37A335557
• a(n) = Sum_{k=0..floor(n/10)} (-1)^k * binomial(n-5*k,5*k).at n=29A348310
• Primitive abundant numbers for which there is no smaller primitive abundant number having the same ordered prime signature.at n=22A357921
• Sums of the rows in A362034.at n=14A362037
• Odd numbers k such that gcd(A276086(sigma(k)-k), A276086(k)) is equal to A276086(k), where A276086 is the primorial base exp-function, and sigma is the sum of divisors function.at n=32A388267
• Numbers k with abundance 90: sigma(k) - 2*k = 90.at n=4A389703