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A160997
Antidiagonal sums of the Wythoff array A035513
0
1, 6, 16, 35, 69, 126, 221, 377, 632, 1048, 1723, 2818, 4593, 7467, 12120, 19651, 31839, 51563, 83479, 135123, 218687, 353899, 572680, 926677, 1499459, 2426243, 3925813, 6352171, 10278103, 16630397, 26908628, 43539157, 70447921, 113987219
OFFSET
1,2
FORMULA
a(n) = sum_{k=1..n} A035513(n-k+1,k).
EXAMPLE
a(3)=3+7+6=16. a(4)=5+11+10+9=35.
MAPLE
A035513 := proc(n, k) local tau ; tau := (sqrt(5)+1)/2 ; combinat[fibonacci](k+1)*floor(n*tau)+(n-1)*combinat[fibonacci](k) ; end: a := proc(d) add(A035513(d-k+1, k), k=1..d) ; end: seq(a(n), n=1..60) ;
CROSSREFS
Sequence in context: A083053 A083046 A192749 * A334047 A199629 A098943
KEYWORD
nonn
AUTHOR
R. J. Mathar, Jun 01 2009
STATUS
approved