27380

Appears in sequences

• a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=39A010008
• Multiplicity of highest weight (or singular) vectors associated with character chi_92 of Monster module.at n=40A034480
• Numbers which are the sum of their proper divisors containing the digit 6.at n=2A059465
• Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).at n=10A068965
• G.f.: A(x) = Product_{n>=1} 1/(1 - 4^n*x^n)^(4/4^n); self-convolution of A110156.at n=7A110154
• Numbers k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k).at n=6A112818
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, 0, -1)}.at n=10A148586
• a(n) = p^2*(p + 3)/2, where p = prime(n).at n=11A179546
• 1/24 the number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock containing exactly three distinct values.at n=2A183587
• 1/24 the number of (n+1)X4 0..3 arrays with every 2X2 subblock containing exactly three distinct values.at n=1A183588
• T(n,k)=1/24 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock containing exactly three distinct values.at n=7A183594
• T(n,k)=1/24 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock containing exactly three distinct values.at n=8A183594
• Numbers n such that there is no square n-gonal number greater than 1.at n=28A188896
• a(n) = 20*n^2.at n=37A195322
• Triangle T(n,k) read by rows of number of ways k domicules can be placed on an n X n square (n >= 0, 0 <= k <= floor(n^2/2)).at n=16A243424
• Even side of integer-sided triangle such that the area is an integer and two sides are twin primes.at n=6A257547
• a(n) = 4*n^3 - 3*n + 1.at n=19A280089
• Number of amicable pairs with lesser member at most 2^n.at n=44A290985
• Practical numbers z such that z^2 = x^2 + y^2 for some practical numbers x and y with gcd(x,y,z) = 4.at n=37A294112