OFFSET
1,2
COMMENTS
Row sums = A027973: (1, 4, 9, 21, 46, 99, 209, ...).
EXAMPLE
First few rows of the triangle:
1;
3, 1;
4, 4, 1;
7, 8, 5, 1;
11, 15, 13, 6, 1;
18, 26, 28, 19, 7, 1;
...
(6,3) = 28 = 13 + 15 = (5,3) + (5,2).
MAPLE
L[1]:=1: L[2]:=3: for n from 3 to 12 do L[n]:=L[n-1]+L[n-2] od: T:=proc(n, k) if k=1 then L[n] elif n=1 then 0 else T(n-1, k)+T(n-1, k-1) fi end: for n from 1 to 12 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form - Emeric Deutsch, Jan 01 2007
A000204 := proc(n) if n =1 then RETURN(1) ; elif n = 2 then RETURN(3) ; else RETURN( A000204(n-1)+A000204(n-2)) ; fi ; end ; A125608 := proc(nmax) local a, row, col, anext ; a := [1] ; row := 1 ; while nops(a) < nmax do row := row+1 ; a := [op(a), A000204(row)] ; for col from 2 to row-1 do anext := op(-row, a)+op(-row+1, a) ; a := [op(a), anext] ; od ; a := [op(a), 1] ; od ; RETURN(a) ; end ; A125608(80) ; # R. J. Mathar, Jan 07 2007
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Nov 27 2006
EXTENSIONS
More terms from Emeric Deutsch, Jan 01 2007
More terms from R. J. Mathar, Jan 07 2007
STATUS
approved