27073

Properties

Appears in sequences

• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=108A008302
• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=112A008302
• Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1.at n=45A035971
• Leading diagonal of triangle in A072467.at n=23A072468
• Smallest of six consecutive primes whose sum of digits is prime.at n=18A106719
• Smallest of seven consecutive primes the sum of the digits of each of which is prime.at n=8A106722
• Smallest of eight consecutive primes whose sum of digits is prime.at n=4A106723
• Values of c in a^2 + b^2 = c^2, where b - a = 17 and gcd(a,b,c)=1.at n=8A117472
• Primes which are the sum of the first k nonprimes for some k >= 2.at n=23A128927
• Prime numbers p such that p +- ((p-1)/3) are primes.at n=25A137703
• Positive numbers y such that y^2 is of the form x^2+(x+17)^2 with integer x.at n=14A155923
• a(n) = 6*a(n-1) - a(n-2) for n > 2; a(1) = 25, a(2) = 137.at n=4A156158
• Number of reduced words of length n in the Weyl group A_8.at n=16A161456
• Number of reduced words of length n in the Weyl group A_8.at n=20A161456
• Primes of the form 3*m^2 - 2.at n=16A201715
• Number of (n+1) X 4 binary arrays with consecutive windows of two bits considered as a binary number nondecreasing in every row and column.at n=19A202330
• Number of (n+1) X (n+1) -8..8 symmetric matrices with every 2 X 2 subblock having sum zero and one or two distinct values.at n=16A211466
• Numbers n such that n^2 written in base 10 is of the form xyx where x is any string of digits and y is any single digit.at n=11A215952
• Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=25A256811
• Denominators of lower primes-only best approximates (POBAs) to sqrt(2); see Comments.at n=14A265773