45585

Appears in sequences

• Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4.at n=22A005917
• Number of partitions of n with equal number of parts congruent to each of 0, 1 and 3 (mod 4).at n=66A046767
• a(n) = floor(5^n/3^n).at n=21A094974
• Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner.at n=6A165373
• Number of slanted 8Xn (i=1..8)X(j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner.at n=2A165391
• 1/6 the number of (n+2) X 3 0..2 arrays with each 3 X 3 subblock containing one of one value, four of another, and four of the last.at n=4A184469
• 1/6 the number of (n+2)X7 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.at n=0A184473
• T(n,k)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.at n=10A184477
• T(n,k)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.at n=14A184477
• a(n) is the number of interior points in the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter), counted with multiplicity.at n=8A334697
• E.g.f.: Product_{i>=1, j>=1} (1 + x^(i*j) / (i*j)!).at n=9A341506