41202

Appears in sequences

• Number of permutations of length n which avoid the patterns 2134, 3142, 3421.at n=10A116776
• Numbers k such that A014138(k+1) (the partial sum of the first k Catalan numbers, starting 1, 2, 5, ...) is a prime.at n=13A126807
• Numbers n with following property: suppose n^6 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square.at n=17A130688
• a(n) = n*(n+1)*(4*n+1)/2.at n=27A135713
• Numbers k such that prime(k-1) + 5 is square and equal to prime(k+1) - 1.at n=2A158460
• a(n) = 49*n^2 - 7.at n=28A158484
• Averages of twin prime pairs of the form : sum of two or more consecutive squares.at n=22A174716
• Numbers k such that sopfr(k + bigomega(k)) = sopfr(k).at n=37A187877
• a(n) = A097609(2*n-1,n), n>0; a(0)=1.at n=10A211867
• Sum of the next to smallest parts in the partitions of 4n into 4 parts with smallest part = 1.at n=40A239195
• Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total surface area of all rectangular prisms enclosed in this way.at n=41A308236
• Numbers m such that the sum of the first m primes as well as the sum of the squares and the sum of the cubes of the first m primes are all prime.at n=9A329539
• Expansion of e.g.f. Product_{k>=1} 1 / (1 - x^k/(k!*(1 - x)^k)).at n=6A330649
• Number of ways to write n as an ordered sum of 9 nonzero triangular numbers.at n=38A340954