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 A051777 Triangle read by rows, where row (n) = n mod n, n mod (n-1), n mod (n-2), ...n mod 1. 6
 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 3, 1, 1, 0, 0, 1, 2, 3, 0, 2, 0, 0, 0, 1, 2, 3, 4, 1, 0, 1, 0, 0, 1, 2, 3, 4, 0, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 1, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 0, 2, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 1, 3, 1, 1, 1, 0, 0, 1, 2, 3, 4, 5, 6, 0, 2, 4, 2, 2, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,13 COMMENTS Also, rectangular array read by antidiagonals, a(n, k) = k mod n (k >= 0, n >= 1). Cf. A048158, A051127. - David Wasserman, Oct 01 2008 Central terms: a(2*n - 1, n) = n - 1. - Reinhard Zumkeller, Jan 25 2011 LINKS Reinhard Zumkeller, Rows n=1..150 of triangle, flattened EXAMPLE row (5) = 5 mod 5, 5 mod 4, 5 mod 3, 5 mod 2, 5 mod 1 = 0, 1, 2, 1, 0 . 0 ; 0  0 ; 0  1  0 ; 0  1  0  0 ; 0  1  2  1  0; 0  1  2  0  0  0 ; 0  1  2  3  1  1  0 ; 0  1  2  3  0  2  0  0; 0  1  2  3  4  1  0  1  0 ; 0  1  2  3  4  0  2  1  0  0 ; 0  1  2  3  4  5  1  3  2  1  0 ; 0  1  2  3  4  5  0  2  0  0  0  0 ; 0  1  2  3  4  5  6  1  3  1  1  1  0 ; MATHEMATICA Flatten[Table[Mod[n, Range[n, 1, -1]], {n, 20}]] (* From Harvey P. Dale, Nov 30 2011 *) PROG (Haskell) a051777 n k = a051777_row n !! (k-1) a051777_row n = map (mod n) [n, n-1 .. 1] a051777_tabl = map a051777_row [1..] -- Reinhard Zumkeller, Jan 25 2011 CROSSREFS Cf. A051778. Row sums give A004125. Number of 0's in row n gives A000005 (tau(n)). Number of 1's in row n+1 gives A032741(n). Sequence in context: A109708 A035468 A263860 * A262709 A107628 A268389 Adjacent sequences:  A051774 A051775 A051776 * A051778 A051779 A051780 KEYWORD easy,nice,nonn,tabl AUTHOR Asher Auel (asher.auel(AT)reed.edu), Dec 09 1999 STATUS approved

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Last modified October 14 15:14 EDT 2019. Contains 328019 sequences. (Running on oeis4.)