A123517 Triangle read by rows: T(n,k) = floor(n/k + 1/2) - floor(n/(k + 1/2)) (1<=k<=n).

1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 3, 2, 0, 1, 0, 0, 1, 3, 1, 1, 1, 1, 0, 0, 1, 3, 2, 1, 0, 1, 1, 0, 0, 1, 4, 1, 1, 1, 1, 1, 0, 0, 0, 1, 4, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 4, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 5, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 5, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1

Offset

1,7

Comments

Row n has sum n.

References

B. Chen, C. Kimberling and P. R. Pudaite, Math. Magazine, 77, No. 1, 2004, pp. 70 (Q937), 75 (A937).

Links

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

Maple

T:=proc(n, k) if k<=n then floor(n/k+1/2)-floor(n/(k+1/2)) else 0 fi end: for n from 1 to 16 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form

Mathematica

Table[Floor[n/k + 1/2] - Floor[n/(k + 1/2)], {n, 1, 10}, {k, 1, n}] // Flatten (* G. C. Greubel, Oct 14 2017 *)

Prog

(PARI) for(n=1, 10, for(k=1, n, print1(floor(n/k + 1/2) - floor(n/(k + 1/2)), ", "))) \\ G. C. Greubel, Oct 14 2017

Crossrefs

Sequence in context: A324667 A258260 A094713 * A178948 A203827 A194289

Adjacent sequences: A123514 A123515 A123516 * A123518 A123519 A123520

Keyword

nonn,tabl

Author

Emeric Deutsch, Oct 14 2006

Status

approved