19375

Appears in sequences

• a(n) = n*(n+1)*(4*n+5)/6.at n=30A016061
• Expansion of 1/((1-5*x)*(1-10*x)).at n=4A016164
• Expansion of 1/Product_{m>=1} (1 - m*q^m)^20.at n=4A022744
• Sums of 3 distinct powers of 5.at n=34A038475
• Numbers k that divide 7^k + 3^k.at n=28A045586
• Lesser of two consecutive numbers each divisible by a fourth power.at n=36A068782
• Stirling2 triangle with scaled diagonals (powers of 5).at n=16A075500
• Number of n X n matrices over GF(5) with characteristic polynomial x^(n-1) * (x-1).at n=2A088853
• Coefficient of x^n in expansion of (1+n*x+n*x^2)^n.at n=5A092366
• Numerator of sum of reciprocals of first n 5-simplex numbers A000389.at n=14A118431
• Row sums of triangle A120072 (numerator triangle for H atom spectrum).at n=29A120074
• Number of intersections of at least four edges in a cube of n X n X n smaller cubes.at n=25A126562
• Row sums of triangle A144825.at n=30A144826
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1100-0111-0001 pattern in any orientation.at n=11A147278
• A104449(n+1)+prime(n), sum of a Lucas and the prime sequence.at n=18A160244
• Numbers k with property that p = 10k + 1, p^3 + 6, p^3 + 12 and p^3 + 18 are all prime.at n=3A173629
• Position of 3^n in A051037 (5-smooth numbers).at n=46A188426
• Number of binary arrangements of total n 1's, without adjacent 1's on n X n torus connected n-s.at n=5A197990
• The number of P-positions in the game of Nim with up to five piles, allowing for piles of zero, such that the total number of objects in all piles is 2n.at n=30A238759
• Coefficients in q-expansion of (3*E_2*E_4 - 2*E_6 - E_2^3)/1728, where E_2, E_4, E_6 are the Eisenstein series shown in A006352, A004009, A013973, respectively.at n=25A282097