19940

Appears in sequences

• Numbers that are the sum of 5 nonzero 8th powers.at n=16A003383
• Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors.at n=25A006601
• a(n) is minimal such that prime factorizations of a(n), ..., a(n)+n-1 have same exponents.at n=3A034173
• a(n) = 1^n + 2^(n+1) + 3^(n+2).at n=8A066280
• Smallest of 4 consecutive numbers each divisible by a square.at n=31A070284
• Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259.at n=8A071320
• Starts for strings of at least five consecutive nonsquarefree numbers.at n=9A078144
• Triangle read by rows in which the n-th row gives the smallest set of n consecutive numbers with the same prime signatures.at n=6A083785
• Square array read by antidiagonals: a(n, d) is the smallest number that begins an arithmetic progression with common difference d of n numbers with the same prime signature.at n=6A113456
• Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes.at n=7A124728
• Numbers k with prime signature(k) = prime signature(k+1) = prime signature(k+2) = prime signature(k+3).at n=0A175590
• Numbers with ordered partitions that have periods of length 5.at n=39A178572
• Least even k such that sfdf(k-3) > sfdf(k-1) >= A050376(n), where sfdf(n) is the smallest Fermi-Dirac factor of n (A223490).at n=36A244343
• Number of (n+1) X (1+1) arrays of permutations of 0..n*2+1 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0.at n=8A264158
• T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0.at n=36A264163
• T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0.at n=36A264257
• T(n,k) is the start of the first run of exactly k consecutive integers having exactly 2n divisors. Table read by rows.at n=23A292580
• a(n) is the smallest number k such that n consecutive integers starting at k have the same number of nonprime divisors (A033273).at n=3A324594
• a(n) is the start of the least run of exactly n consecutive numbers with the same number of nonunitary divisors.at n=3A349305
• a(n) is the start of the least run of exactly n consecutive nobly abundant numbers (A349758).at n=4A349871