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A053203 Pascal's triangle (excluding first, last three elements of each row) read by rows, row n read mod n. 5
2, 0, 0, 0, 6, 0, 3, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 2, 7, 0, 7, 0, 5, 0, 3, 10, 0, 0, 10, 3, 0, 5, 0, 12, 0, 8, 0, 6, 0, 8, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 2, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

6,1

COMMENTS

Prime numbered rows contain all zeros.

LINKS

T. D. Noe, Rows n=6..100 of triangle, flattened

EXAMPLE

Triangle begins:

  2;

  0,0;

  0,6,0;

  3,0,0,3;

  0,0,2,0,0;

  ...

row 9 = 84 mod 9, 126 mod 9, 126 mod 9, 84 mod 9, = 3, 0, 0, 3.

MATHEMATICA

Table[Mod[Binomial[n, k], n], {n, 6, 20}, {k, 3, n-3}] // Flatten (* Jean-François Alcover, Jan 17 2014 *)

PROG

(Haskell)

a053203 n k = a053203_tabl !! (n - 6) !! k

a053203_row n = a053203_tabl !! (n - 6)

a053203_tabl = zipWith (\k row -> take (k - 5) $ drop 3 row)

                       [6..] $ drop 6 a053200_tabl

-- Reinhard Zumkeller, Jan 24 2014

CROSSREFS

Row sums give A053206.

Cf. A053200, A053201, A053203, A007318 (Pascal's triangle).

Sequence in context: A339016 A262679 A326390 * A158360 A309746 A094315

Adjacent sequences:  A053200 A053201 A053202 * A053204 A053205 A053206

KEYWORD

nonn,nice,tabl

AUTHOR

Asher Auel (asher.auel(AT)reed.edu), Dec 12 1999

EXTENSIONS

a(30) corrected by T. D. Noe, Feb 08 2008

STATUS

approved

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Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)