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A049727 Array T read by diagonals; T(i,j)=number of lattice points in triangle (possibly degenerate) with vertices (0,0),(i,0),(i,j). 2
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7, 9, 10, 9, 7, 7, 8, 8, 10, 11, 11, 10, 8, 8, 9, 9, 12, 13, 15, 13, 12, 9, 9, 10, 10, 13, 16, 16, 16, 16, 13, 10, 10, 11, 11, 15, 17, 19, 21, 19, 17, 15, 11, 11, 12, 12, 16, 19, 21, 22 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..71.

EXAMPLE

1  2  3  4  5  6  7  8  9 10 11 ...

2  3  4  5  6  7  8  9 10 11 12 ...

3  4  6  7  9 10 12 13 15 16 18 ...

4  5  7 10 11 13 16 17 19 22 23 ...

5  6  9 11 15 16 19 21 25 26 29 ...

6  7 10 13 16 21 22 25 28 31 36 ...

7  8 12 16 19 22 28 29 33 37 40 ...

8  9 13 17 21 25 29 36 37 41 45 ...

9 10 15 19 25 28 33 37 45 46 51 ...

10 11 16 22 26 31 37 41 46 55 56 ...

11 12 18 23 29 36 40 45 51 56 66 ...

MAPLE

A049727 := proc(n, k)

    if n = 0 then

        1+k;

    else

        add(1+floor(k*x/n), x=0..n) ;

    end if;

end proc: # R. J. Mathar, Oct 26 2015

CROSSREFS

Sequence in context: A194339 A194335 A026099 * A260690 A060802 A132073

Adjacent sequences:  A049724 A049725 A049726 * A049728 A049729 A049730

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified September 24 17:33 EDT 2021. Contains 347651 sequences. (Running on oeis4.)