19157

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 65.at n=19A020404
• Denominators of continued fraction convergents to sqrt(384).at n=10A041729
• Numbers whose base-2 representation has exactly 13 runs.at n=23A043580
• a(1) = 1, a(n) = prime equal to n-th partial sum of A073852.at n=11A073854
• Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=22A089779
• Home primes whose homeliness is greater than 3.at n=31A133961
• Home primes whose homeliness is 4.at n=20A133962
• Primes congruent to 24 mod 53.at n=36A142554
• Primes congruent to 41 mod 59.at n=32A142768
• Primes congruent to 3 mod 61.at n=38A142801
• An unrestricted partition statistic: sum of A179864 over row n.at n=22A179862
• Principal diagonal of the convolution array A213756.at n=8A213757
• Primes congruent to 5 (mod 504).at n=16A228093
• Primes having primitive roots 2, 3, 5, 7, and 11.at n=38A241046
• Primes having primitive roots 2, 3, 5, 7, 11, and 13.at n=18A241047
• Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001.at n=5A260290
• Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001.at n=3A260292
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001.at n=39A260294
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001.at n=41A260294
• Number of tilings of a 5 X n rectangle using n pentominoes of shapes P, I, X.at n=11A264812