121314

Appears in sequences

• Decimal concatenation of n, n+1, and n+2.at n=12A001703
• Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=6A077296
• Duplicate of A001703.at n=12A127422
• Coefficients of derivatives of MacMahon polynomials (A060187): p(x,n)=2^n*(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2]; p'(x,n)=(d/dx)p{x,n).at n=22A142707
• Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,-2,1.at n=21A222151
• T(n,k) is the number of 4-ary strings of length n+1 with k+1 indispensable digits and a nonzero leading digit with 0 <= k <= n.at n=48A340620
• T(n,k) is the number of 4-ary strings of length n+1 with k+1 indispensable digits and a nonzero leading digit with 0 <= k <= n.at n=51A340620
• Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (n-k)*T(n-1,k-1) + 2*(k+1)*T(n-1,k) + A102365(n,k) with T(n,k) = 0 if k < 0 or k > n.at n=31A382629