32288

Appears in sequences

• a(n) is the concatenation of n and 9n.at n=31A009474
• a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=39A109414
• Expansion of psi(x^6) / psi(-x) in powers of x where psi() is a Ramanujan theta function.at n=50A132217
• 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, -1), (-1, -1, 0), (-1, 1, 1), (1, -1, 1), (1, 1, 0)}.at n=9A149167
• Number of partitions of n into lower Wythoff numbers (A000201).at n=60A192184
• Number of lattice paths from (0,0) to (n,n) using steps (0,1), (1,0), (2,2), (3,3).at n=8A192417
• Majority value maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..1 nX2 array.at n=8A220065
• T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..1 nXk array.at n=46A220070
• The number of simple labeled graphs on n nodes with no components of size 3.at n=6A228596
• Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.at n=13A252526
• Expansion of psi(x^3)^3 * psi(x^2) / psi(x)^4 in powers of x where psi() is a Ramanujan theta function.at n=16A262158
• Expansion of f(-x, -x^5) * f(x^3, x^5) / f(-x, -x^2)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=25A262987
• a(n) = Sum_{p | A055204(n)} 2^(pi(p) - 1).at n=47A336510
• a(n) = Sum_{p | A055204(n)} 2^(pi(p) - 1).at n=48A336510
• Number of integer partitions of n whose parts have weakly decreasing numbers of prime factors (A001222).at n=44A358909