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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 January 18 05:30 EST 2019. Contains 319269 sequences. (Running on oeis4.)