A160997 Antidiagonal sums of the Wythoff array A035513

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

Links

Table of n, a(n) for n=1..34.

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

Adjacent sequences: A160994 A160995 A160996 * A160998 A160999 A161000

Keyword

nonn

Author

R. J. Mathar, Jun 01 2009

Status

approved