25536
domain: N
Appears in sequences
- a(n) = Sum_{i=1..n} Sum_{j=1..i} (prime(i) - prime(j)).at n=32A062020
- Index of first occurrence of n in A092931, or 0 if n does not appear.at n=33A092932
- A triangular sequence based on concepts of operations on existing sequences: in this case the H(x,n) ( A060821) traditional Hermite is differentiated twice : p(x,n)=-x^2*H''(x,n)+H(x,n).at n=33A137449
- Number of permutations of floor(i*5/4), i=0..n-1, with all sums of 4 adjacent terms unique.at n=7A152337
- 6 times octagonal numbers: a(n) = 6*n*(3*n-2).at n=38A153796
- a(n) = 25*n^2 - 2*n.at n=31A154376
- Numbers of divisors of orders of sporadic simple groups.at n=20A174601
- Numbers with prime factorization pqrs^6.at n=10A190292
- Number of compositions of n such that the number of parts and the greatest part are not coprime.at n=16A199887
- Number of rooted planar binary unlabeled trees with n leaves and caterpillar index >= 5.at n=12A214204
- Numbers k such that P = 2^k - 1 - Sum_{primes p<k} 2^(p-1) is prime.at n=26A215891
- Numbers such that sigma(phi(tau(n)))=tau(phi(sigma(n))).at n=20A226119
- Number of partitions p of n such that the number of parts is a part and max(p) - min(p) is not a part.at n=51A241384
- Number of partitions of 4n into distinct parts with equal sums of odd and even parts.at n=27A255001
- Numbers k such that (56*10^k + 367)/9 is prime.at n=20A294231
- Numbers k such that sigma(sigma(k^4)) == 0 (mod k^2).at n=24A320425
- Sorted areas of primitive Heronian triangles for which a rectangle exists with integer dimensions and with perimeter and area equal respectively to the perimeter and area of the triangle.at n=22A343769
- G.f. A(x) = Sum_{n=-oo..+oo} x^(n^2) * (2 - x^n)^n/(1 - 2*x^n)^n.at n=14A380680
- Triangle read by rows: T(n,k) is the number of embeddings on the sphere of connected simple planar graphs with n nodes and k faces up to orientation preserving isomorphisms, n >= 1, k=1..max(1,2*n-4).at n=54A384964