242461

Appears in sequences

• a(n) = 4^n - 3^n.at n=9A005061
• Nexus numbers (n+1)^9-n^9.at n=3A022525
• Number of n X 9 binary arrays with a path of adjacent 1's from top row to bottom row.at n=1A069384
• G.f.: (2-x)/((1+3x)(1-4x)); e.g.f.: exp(4x) + exp(-3x); a(n) = 4^n + (-3)^n.at n=9A087452
• Main diagonal of triangular array T: T(j,1) = 1 for ((j-1) mod 6) < 3, else 0; T(j,k) = T(j-1,k-1) + T(j,k-1) for 2 <= k <= j.at n=19A129339
• First subdiagonal of triangular array T: T(j,1) = 1 for ((j-1) mod 6) < 3, else 0; T(j,k) = T(j-1,k-1) + T(j-1,k) for 2 <= k <= j.at n=19A131023
• Triangle read by rows: 3-Stirling numbers of the second kind.at n=46A143495
• a(n) = 2*a(n-1)+3*a(n-2)-6*a(n-3) starting a(0)=a(1)=0, a(2)=1.at n=18A167762
• a(n) = 2^n - A108411(n).at n=18A167936
• Difference of two positive 9th powers.at n=4A181128
• Monotonic ordering of nonnegative differences 8^i-3^j, for 40>= i>=0, j>=0.at n=33A192156
• Triangular array read by rows, T(n,k) is the number of functions from {1,2,...,n} into {1,2,...,n} with maximum value of k.at n=39A199656
• Number of second differences of arrays of length n + 2 of numbers in 0..3.at n=6A228213
• T(n,k)=Number of second differences of arrays of length n+2 of numbers in 0..k.at n=42A228218
• Number of second differences of arrays of length 9 of numbers in 0..n.at n=2A228224
• Number of third differences of arrays of length n+3 of numbers in 0..3.at n=5A228255
• T(n,k)=Number of third differences of arrays of length n+3 of numbers in 0..k.at n=33A228260
• Number of third differences of arrays of length 9 of numbers in 0..n.at n=2A228265
• Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from top row to bottom row.at n=46A359576
• Array read by antidiagonals: T(m, n) is the number of m X n binary arrays with a path of adjacent 1's from top row to bottom row using only left, right, and downward steps.at n=46A369892