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 A051778 Triangle read by rows, where row (n) = n mod (n-1), n mod (n-2), n mod (n-3), ...n mod 2. 8
 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 3, 0, 2, 0, 1, 2, 3, 4, 1, 0, 1, 1, 2, 3, 4, 0, 2, 1, 0, 1, 2, 3, 4, 5, 1, 3, 2, 1, 1, 2, 3, 4, 5, 0, 2, 0, 0, 0, 1, 2, 3, 4, 5, 6, 1, 3, 1, 1, 1, 1, 2, 3, 4, 5, 6, 0, 2, 4, 2, 2, 0, 1, 2, 3, 4, 5, 6, 7, 1, 3, 0, 3, 0, 1, 1, 2, 3, 4, 5, 6, 7, 0, 2, 4, 1, 0, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 3,5 COMMENTS Central terms: a(2*n+1,n) = n for n > 0. - Reinhard Zumkeller, Dec 03 2014 Deleting column 1 of the array at A055126 gives the array A051778 in square format (see Example). - Clark Kimberling, Feb 04 2016 LINKS Reinhard Zumkeller, Rows n=3..125 of triangle, flattened EXAMPLE row (7) = 7 mod 6, 7 mod 5, 7 mod 4, 7 mod 3, 7 mod 2 = 1, 2, 3, 1, 1. 1; 1 0 ; 1 2 1 ; 1 2 0 0 ; 1 2 3 1 1 ; 1 2 3 0 2 0 ; 1 2 3 4 1 0 1 ; 1 2 3 4 0 2 1 0 ; 1 2 3 4 5 1 3 2 1 ; 1 2 3 4 5 0 2 0 0 0 ; 1 2 3 4 5 6 1 3 1 1 1 ; Northwest corner of square array: 1 1 1 1 1 1 1 1 1 1 1 0 2 2 2 2 2 2 2 2 2 2 1 0 3 3 3 3 3 3 3 3 3 0 1 0 4 4 4 4 4 4 4 4 1 2 1 0 5 5 5 5 5 5 5 0 0 2 1 0 6 6 6 6 6 6 1 1 3 2 1 0 7 7 7 7 7 - Clark Kimberling, Feb 04 2016 MATHEMATICA Flatten[Table[Mod[n, i], {n, 3, 20}, {i, n-1, 2, -1}]] (* Harvey P. Dale, Sep 09 2012 *) TableForm[Table[Mod[n, k], {n, 1, 12}, {k, 2, 12}]] (* square *) (* Clark Kimberling, Feb 04 2016 *) PROG (Haskell) a051778 n k = a051778_tabl !! (n-3) !! (k-1) a051778_row n = a051778_tabl !! (n-3) a051778_tabl = map (\xs -> map (mod (head xs + 1)) xs) \$ iterate (\xs -> (head xs + 1) : xs) [2] -- Reinhard Zumkeller, Dec 03 2014 CROSSREFS Cf. A051777, A051127, A051126. Cf. A004125 (row sums), A000027 (central terms), A049820 (number of nonzeros per row), A032741 (number of ones per row), A070824 (number of zeros per row). Sequence in context: A000989 A132401 A104273 * A057554 A060575 A236074 Adjacent sequences: A051775 A051776 A051777 * A051779 A051780 A051781 KEYWORD easy,nice,nonn,tabl AUTHOR Asher Auel, Dec 09 1999 STATUS approved

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Last modified March 5 09:09 EST 2024. Contains 370545 sequences. (Running on oeis4.)