63040

Appears in sequences

• Expansion of Product_{m>=1} (1+x^m)^2.at n=37A022567
• Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1/2 - 2*x^2 + x^4).at n=18A030435
• Shifts left under Weigh transform.at n=40A038073
• a(n) = (2 + sqrt(2))^n + (2 - sqrt(2))^n.at n=9A056236
• Triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} defined by a(0,0)=1, a(n,0)=A000670(n), a(n,n)=A000629(n), a(n,k) = a(n,k-1) + a(n-1,k-1); a(n+1,0) = Sum_{k=0..n} a(n,k).at n=31A073146
• On a 3 X 3 board, number of n-move routes of chess king ending in a given side square.at n=7A086347
• Number of meaningful differential operations of the k-th order on the space R^12.at n=14A129639
• Triangle read by rows, derived from an array of sequences generated from (1 + x)/ (1 - r*x - r*x^2).at n=62A180165
• T(n,k)=3-level binary fanout graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=37A223423
• Numbers of the form a^6 + b^7, with integers a, b > 0.at n=23A303376
• Array read by antidiagonals: T(m, n) is the number of simple paths from corner to diagonally opposite corner on an m X n grid with king moves allowed.at n=37A329118
• Array read by antidiagonals: T(m, n) is the number of simple paths from corner to diagonally opposite corner on an m X n grid with king moves allowed.at n=43A329118