52003

Appears in sequences

• Coefficients of Legendre polynomials.at n=6A001795
• Numerators in expansion of sqrt(1+x). Absolute values give numerators in expansion of sqrt(1-x).at n=13A002596
• Numerator of n!!/(n+3)!!.at n=23A004732
• Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=42A008317
• Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=18A031702
• Numerators of coefficients of 1/2^(2n+1) in Newton's series for Pi.at n=14A054387
• Squarefree part of the n-th central binomial coefficient.at n=24A056058
• The powerfree part of the central binomial coefficients.at n=24A056060
• The powerfree part of the central binomial coefficients.at n=25A056060
• Triangular numbers with sum of digits = 10.at n=32A068129
• a(n) = smallest triangular number having no digit in common with the previous term, with a(1) = 1.at n=29A068818
• Triangular numbers whose digit permutations yield at least two further triangular numbers.at n=30A069674
• Triangular numbers whose sum of prime factors (with repetition) is also triangular.at n=28A076169
• Triangular numbers whose sum of aliquot divisors is a prime number.at n=25A083676
• Numerator of Maclaurin expansion of (t*sqrt(t^2+1) + arcsinh(t))/2, the arc length of Archimedes' spiral.at n=13A091154
• Numerators of even raw moments in the distribution of line lengths for lines picked at random in the unit disk.at n=11A093526
• Numbers n such that the middle coefficient of the cyclotomic polynomial Phi_n(x) has a value not obtained for any smaller n.at n=27A095877
• Second column and subdiagonal of number triangle A098509.at n=12A098512
• Numerator of Catalan(n)/2^(2n+1). Also, numerators of (2n-1)!!/(n+1)!. Odd part of the n-th Catalan number.at n=12A098597
• Triangular numbers that are the product of 2 palindromes greater than 1.at n=32A115744