This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A194547 Triangle read by rows: T(n,k) = Dyson's rank of the k-th partition of n, with partitions in lexicographic order. 7
 0, -1, 1, -2, 0, 2, -3, -1, 1, 0, 3, -4, -2, 0, -1, 2, 1, 4, -5, -3, -1, -2, 1, 0, 3, -1, 2, 1, 5, -6, -4, -2, -3, 0, -1, 2, -2, 1, 0, 4, 0, 3, 2, 6, -7, -5, -3, -4, -1, -2, 1, -3, 0, -1, 3, -1, 2, 1, 5, -2, 1, 0, 4, 3, 2, 7, -8, -6, -4, -5, -2, -3, 0, -4, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row n has length A000041(n). The sum of row n is equal to zero. LINKS Alois P. Heinz, Rows n = 1..26, flattened FORMULA a(n) = A194546(n) - A193173(n). EXAMPLE Written as a triangle: 0; -1,1; -2,0,2; -3,-1,1,0,3; -4,-2,0,-1,2,1,4; -5,-3,-1,-2,1,0,3,-1,2,1,5; -6,-4,-2,-3,0,-1,2,-2,1,0,4,0,3,2,6; -7,-5,-3,-4,-1,-2,1,-3,0,-1,3,-1,2,1,5,-2,1,0,4,3,2,7; MAPLE T:= proc(n) local b, l;       b:= proc(n, i, t)             if n=0 then l:=l, i-t           elif i>n then           else b(n-i, i, t+1); b(n, i+1, t)             fi           end;       l:= NULL; b(n, 1, 0); l     end: seq(T(n), n=1..10);  # Alois P. Heinz, Dec 22 2011 CROSSREFS Cf. A105805, A135010, A138121, A194546, A194548, A194549. Sequence in context: A089596 A319876 A105805 * A257570 A220417 A049581 Adjacent sequences:  A194544 A194545 A194546 * A194548 A194549 A194550 KEYWORD sign,tabf,look AUTHOR Omar E. Pol, Dec 10 2011 EXTENSIONS More terms from Alois P. Heinz, Dec 22 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 20 22:37 EDT 2019. Contains 328291 sequences. (Running on oeis4.)