27312

Appears in sequences

• Number of atoms in a decahedron with n shells.at n=32A004068
• a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049735.at n=23A049736
• Convolution triangle based on A001333(n), n >= 1.at n=47A054458
• A001333(n), n >= 1, convolved twice with itself.at n=7A054460
• Amicable triples: numbers such that sigma(x) = sigma(y) = sigma(z) = x+y+z, x<y<z. We order these triples according to the common value of sigma. Sequence gives z numbers.at n=2A125492
• Number of conjugate-congruent partitions of n.at n=45A137438
• Numbers n such that 10^n - 41 is prime.at n=16A178406
• Number of 6-step self-avoiding walks on an n X n square summed over all starting positions.at n=11A188151
• Triangle of coefficients of polynomials v(n,x) jointly generated with A209695; see the Formula section.at n=52A209696
• Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 5.at n=4A211832
• T(n,k)=Number of nonnegative integer arrays of length n+k+1 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value k+1.at n=32A211836
• Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1.at n=3A211839
• Numbers that belong to at least one amicable tuple.at n=26A255215
• Number of partitions of n into parts of exactly 2 sorts which are introduced in ascending order.at n=12A258457
• Starts of runs of 3 consecutive lazy-Fibonacci-Niven numbers (A328212).at n=0A328214
• Starts of runs of 4 consecutive positive negabinary-Niven numbers (A331728).at n=7A331824
• The number of grains of sand in the identity element for the 3D sandpile group on an n X n X n cubic grid.at n=18A351379
• Numbers z such that there exist two integers 0<x<=y<=z such that (x^2/sigma(x)^2 + y^2/sigma(y)^2 + z^2/sigma(z)^2) * (x + y + z)^2 = x^2 + y^2 + z^2.at n=6A385749
• Numbers z such that there exist two integers 0<x<=y<=z such that sigma(x)*sigma(y)*sigma(z) = (x + y + z)^3.at n=8A386010
• a(n) = Sum_{k=0..n} 2^k * binomial(k+2,2) * binomial(k,n-k)^2.at n=6A391676