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A008975 Pascal's triangle mod 10. 19
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 0, 0, 5, 1, 1, 6, 5, 0, 5, 6, 1, 1, 7, 1, 5, 5, 1, 7, 1, 1, 8, 8, 6, 0, 6, 8, 8, 1, 1, 9, 6, 4, 6, 6, 4, 6, 9, 1, 1, 0, 5, 0, 0, 2, 0, 0, 5, 0, 1, 1, 1, 5, 5, 0, 2, 2, 0, 5, 5, 1, 1, 1, 2, 6, 0, 5, 2, 4, 2, 5, 0, 6, 2, 1, 1, 3, 8, 6, 5, 7, 6, 6 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Reinhard Zumkeller, Rows n=0..150 of triangle, flattened

Index entries for triangles and arrays related to Pascal's triangle

FORMULA

T(i, j) = binomial(i, j) (mod 10)

MATHEMATICA

Mod[ Flatten[ Table[ Binomial[n, k], {n, 0, 13}, {k, 0, n}]], 10] (* Robert G. Wilson v, May 26 2004 *)

PROG

(Haskell)

a008975 n k = a008975_tabl !! n !! k

a008975_row n = a008975_tabl !! n

a008975_tabl = iterate

   (\row -> map (`mod` 10) $ zipWith (+) ([0] ++ row) (row ++ [0])) [1]

-- Reinhard Zumkeller, Feb 24 2012

CROSSREFS

Cf. A007318, A047999, A083093, A034931, A034930, A034932.

Cf. A208278 (row sums), A208279 (central terms), A208134 (number of zeros per row), A208280 (distinct terms per row).

Sequences based on the triangles formed by reading Pascal's triangle mod m: A047999 (m = 2), A083093 (m = 3), A034931 (m = 4), A095140 (m = 5), A095141 (m = 6), A095142 (m = 7), A034930 (m = 8), A095143 (m = 9), A008975 (m = 10), A095144 (m = 11), A095145 (m = 12), A275198 (m = 14), A034932 (m = 16).

Sequence in context: A180181 A128629 A107065 * A140280 A140586 A095143

Adjacent sequences:  A008972 A008973 A008974 * A008976 A008977 A008978

KEYWORD

nonn,tabl,base

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)