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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 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 STATUS approved

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