29371

Appears in sequences

• Expansion of e.g.f.: exp(4*z + exp(z) - 1).at n=6A045379
• Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.at n=6A080894
• Array, read by antidiagonals, where A(n,k) = exp(-1)*Sum_{i>=0} (i+k)^n/i!.at n=59A108087
• Number of binary strings of length n with no substrings equal to 0001 0010 or 1010.at n=16A164449
• a(n) = 6*F(n)*F(n+1) + (-1)^n, where F = A000045.at n=10A264080
• Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=10A281468
• Number of connected induced (non-null) subgraphs of the Möbius ladder graph with 2n nodes.at n=8A286185
• Number of rectangular plane partitions of n with strictly decreasing rows and columns.at n=47A323430