19024

Appears in sequences

• Expansion of Product_{m>=1} (1-m*q^m)^29.at n=5A022689
• Numerators of continued fraction convergents to sqrt(288).at n=4A041542
• a(n) = (1+n)*(9 + 11*n + 4*n^2)/3.at n=23A172482
• Numbers m such that Sum_{i=1..k} (1-1/p_i) + Product_{i=1..k} (1-1/p_i) is an integer, where p_i are the k prime factors of m (with multiplicity).at n=5A198391
• a(n) = Pell(n) * A004018(n) for n>=1 with a(0)=1, where A004018(n) is the number of ways of writing n as a sum of 2 squares.at n=10A205508
• Number of n X 3 0..2 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 3.at n=16A240034
• a(n) = A324543(2*A000040(n)).at n=14A324549
• Total sum of the left-to-right minima in all compositions of n into distinct parts.at n=21A336770
• Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = 4^(2*(n-1)*(k-1)) * Product_{a=1..n-1} Product_{b=1..k-1} (1 - sin(a*Pi/(2*n))^2 * sin(b*Pi/(2*k))^2).at n=16A340427
• Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = 4^(2*(n-1)*(k-1)) * Product_{a=1..n-1} Product_{b=1..k-1} (1 - sin(a*Pi/(2*n))^2 * sin(b*Pi/(2*k))^2).at n=19A340427
• Numbers k such that k and k+1 have the same sum of 5-smooth divisors.at n=12A355713
• Numbers k for which A276086(k) == 1 (mod k), where A276086 is the primorial base exp-function.at n=21A358231
• E.g.f. satisfies A(x) = 1 + A(x)^2 * log(1 + x*A(x)).at n=5A367156
• Antidiagonal-sums of the array A377051(n,k) = n-th term of k-th differences of powers of primes.at n=16A377052
• Numbers k for which there exists m such that the sum from 1 to m and the sum from m + 1 to k are both perfect squares.at n=30A388659