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 A004199 Table of [ x/y ], where (x,y) = (1,1),(1,2),(2,1),(1,3),(2,2),(3,1),... 1
 1, 0, 2, 0, 1, 3, 0, 0, 1, 4, 0, 0, 1, 2, 5, 0, 0, 0, 1, 2, 6, 0, 0, 0, 1, 1, 3, 7, 0, 0, 0, 0, 1, 2, 3, 8, 0, 0, 0, 0, 1, 1, 2, 4, 9, 0, 0, 0, 0, 0, 1, 1, 2, 4, 10, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 11, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 12, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 6, 13, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 6, 14 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Entry in row n and column k is also the number of multiples of k less than or equal to n, n,k >= 1. - L. Edson Jeffery, Aug 31 2014 LINKS FORMULA sum_{k=1..n} a(n-k+1,k) = A002541(n+1). EXAMPLE Array begins: 1 0 0 0 0 0 0 0 ... 2 1 0 0 0 0 0 0 ... 3 1 1 0 0 0 0 0 ... 4 2 1 1 0 0 0 0 ... 5 2 1 1 1 0 0 0 ... ... MATHEMATICA (* Array version: *) Grid[Table[Floor[n/k], {n, 14}, {k, 14}]] (* L. Edson Jeffery, Aug 31 2014 *) (* Array antidiagonals flattened: *) Flatten[Table[Floor[(n - k + 1)/k], {n, 14}, {k, n}]] (* L. Edson Jeffery, Aug 31 2014 *) CROSSREFS Cf. A002541 (antidiagonal sums). Cf. A010766 (same sequence as triangle, omitting the zeros). Sequence in context: A128132 A158821 A127701 * A062283 A136493 A338849 Adjacent sequences:  A004196 A004197 A004198 * A004200 A004201 A004202 KEYWORD tabl,nonn AUTHOR STATUS approved

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Last modified June 24 06:11 EDT 2021. Contains 345416 sequences. (Running on oeis4.)