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 A277647 Triangle T(n,k) = floor(n/sqrt(k)) for 1 <= k <= n^2, read by rows. 11
 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA T(n,k) = A000196(A277646(n,k)). T(n,k)sqrt(k) <= n < (T(n,k)+1)sqrt(k). EXAMPLE The first five rows of the triangle are: 1; 2, 1, 1, 1; 3, 2, 1, 1, 1, 1, 1, 1, 1; 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1; 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1; MATHEMATICA Table[Floor[n/Sqrt@ k], {n, 7}, {k, n^2}] // Flatten (* Michael De Vlieger, Nov 24 2016 *) PROG (MAGMA) A277647:=func; [A277647(n, k):k in[1..n^2], n in[1..7]]; (PARI) row(n) = for(k=1, n^2, print1(floor(n/sqrt(k)), ", ")); print("") trianglerows(n) = for(k=1, n, row(k)) /* Print initial five rows of triangle as follows: */ trianglerows(5) \\ Felix FrÃ¶hlich, Nov 12 2016 CROSSREFS Cf. A010766, A277646, A277648. The 1000th row is A033432. Sequence in context: A037861 A145037 A267115 * A296134 A306694 A158052 Adjacent sequences:  A277644 A277645 A277646 * A277648 A277649 A277650 KEYWORD nonn,tabf,easy AUTHOR Jason Kimberley, Nov 09 2016 STATUS approved

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Last modified July 24 03:30 EDT 2019. Contains 325290 sequences. (Running on oeis4.)