35880

Appears in sequences

• Triangle read by rows: T(n,k) = binomial(3n+3, k)*(n-k+1)/(n+1).at n=41A064282
• Integers k such that omega(k) = omega(k-1) + omega(k-2) + omega(k-3), where omega(n) is the number of distinct prime factors of n.at n=27A076252
• Expansion of (1-x)^(-1)/(1+2*x+2*x^2-x^3).at n=21A077933
• Smallest k such that k and k+n have the same prime signature that is different from all previous terms.at n=29A085876
• Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.at n=20A092002
• Area of the Pythagorean triangle a = u^2 - v^2 (cf. A096382) when u=3, v=4,4,5,...at n=19A096383
• When the n-th term of this sequence is added to or subtracted from the square of the n-th prime of the form 4k + 1 (i.e., A002144(n)), the result in both cases is a square.at n=25A114200
• Eigensequence of A061554 regarded as a triangle: a(n) = Sum_{k=0..n-1} A061554(n-1,k)*a(k) with a(0)=1.at n=11A125094
• Inverse of Riordan array (1/(1+x)^3, x/(1+x)^3).at n=39A127898
• Values of product d(n)*sopf(n) associated with A134382.at n=31A134385
• a(n) = 1728*n - 408.at n=20A157266
• a(n)= n * reversal(n-1) * reversal(n+1).at n=29A160936
• Record gaps between nonprime prime powers.at n=29A167186
• Numbers with prime factorization pqrst^3.at n=21A189984
• Integer areas of integer-sided triangles where at least one median is of prime length.at n=39A227895
• Number of n X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A241350
• Number of nX6 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A241354
• T(n,k) = Number of n X k 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=60A241356
• Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A241361
• Integer areas A of integer-sided triangles such that the length of the circumradius is a prime number.at n=23A256629