78729

Appears in sequences

• a(n) = T(3,n), array T given by A048471.at n=9A036543
• a(n) = (2*n^3 + 5*n^2 + 11*n)/2.at n=41A162263
• 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=7A165373
• Number of trapezoids, distinct up to congruence, on an n X n grid (or geoboard).at n=18A181945
• 1/6 the number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock containing all three values.at n=4A183596
• 1/6 the number of (n+1)X6 0..2 arrays with every 2X2 subblock containing all three values.at n=1A183599
• T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values.at n=16A183603
• T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values.at n=19A183603
• Number of (n+2) X 4 binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column.at n=16A202455
• Expansion of (1+3*x+5*x^2-x^3)/((1-x^2)*(1-3*x^2)).at n=18A220944
• a(n) = 2*A276086(n) - A276086(A001065(n)), where A276086 is the primorial base exp-function, and A001065 is the sum of proper divisors of n.at n=57A379494
• a(n) = A276086(1+n) - A276086(A001065(n)), where A276086 is the primorial base exp-function, and A001065 is the sum of proper divisors of n.at n=57A379498
• a(n) = Sum_{k=0..n} binomial(3*n+2*k+2,n-k).at n=6A390455