53538

Appears in sequences

• Self-convolution of array T given by A026386.at n=8A026951
• Number of partitions of n that do not contain 7 as a part.at n=44A027341
• a(n) = n^2 + (n + 1)^3 + (n + 2)^4.at n=13A061222
• 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, 1), (0, 1, 0), (1, 0, 0)}.at n=11A149810
• Triangle interpolating the swinging factorial (A056040) restricted to even indices with its binomial transform. Same as interpolating bilateral Schroeder paths (A026375) with the central binomial coefficients (A000984).at n=38A163841
• Number of n X n 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.at n=2A229405
• Number of nX3 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.at n=2A229407
• T(n,k)=Number of nXk 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.at n=12A229412
• Sequence defined by a(1)=a(2)=1 and a(n) = gray(a(n-1) + a(n-2)), with gray(m) = A003188(m).at n=16A265385
• a(n) = 420*2^n - 222.at n=7A304614