21832

Appears in sequences

• Triangle read by rows: The n-th row is constructed by forming the partial sums of the previous row, reading from the right and if n is a triangular number repeating the final term.at n=41A099964
• Second column of triangle in A099964.at n=11A099968
• Number of two-sided n-step prudent walks ending on the northeast corner of their box, avoiding two or more consecutive west steps and south steps.at n=12A190587
• Principal diagonal of the convolution array A213781.at n=38A213782
• Number of n X 2 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=17A227085
• Number of 2 X n 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=10A280481
• a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + 2*a(n-4), where a(0) = 2, a(1) = 4, a(2) = 8, a(3) = 18.at n=13A288206
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=58A302877
• Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=7A302879
• a(n) = 1 - n + (2^(n+2) - (-1)^n)/3.at n=14A322783