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A257770 Table read by rows: numbers k, 0<=k<=9, such that n is a Belgian-k number. 17
0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 2, 3, 5, 6, 8, 9, 0, 1, 4, 5, 8, 9, 3, 4, 8, 9, 2, 3, 8, 9, 1, 2, 8, 9, 0, 1, 8, 9, 0, 8, 9, 8, 9, 0, 2, 4, 6, 8, 0, 1, 3, 4, 6, 7, 9, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

See A106039 for definition of Belgian-k numbers;

T(n,0) = A257778(n); T(n,A257773(n)) = A257779(n);

m is a Belgian-0 number iff T(m,0) = 0.

LINKS

Reinhard Zumkeller, Rows n = 0..1000 of triangle, flattened

EXAMPLE

The first 100 rows:

.   0 | 0                     25 | 2,4,9       50 | 0,5     75 | 3,8

.   1 | 0,1                   26 | 0,2,8       51 | 3,4,9   76 | 4

.   2 | 0,2                   27 | 0,7,9       52 | 3,5     77 | 0,7

.   3 | 0,3                   28 | 6,8         53 | 0,5,8   78 | 3

.   4 | 0,4                   29 | 5,7         54 | 0,4,9   79 | 8

.   5 | 0,5                   30 | 0,3,6,9     55 | 0,5     80 | 0,8

.   6 | 0,6                   31 | 0,3,4,7,8   56 | 1,7     81 | 0,1,9

.   7 | 0,7                   32 | 2,4,7,9     57 | 4,9     82 | 2,4

.   8 | 0,8                   33 | 0,3,6,9     58 | 1,6     83 | 6,9

.   9 | 0,9                   34 | 3,6         59 | 3       84 | 0,4

.  10 | 0,1,2,3,4,5,6,7,8,9   35 | 0,3,8       60 | 0,6     85 | 7

.  11 | 0,1,2,3,4,5,6,7,8,9   36 | 0,6,9       61 | 5,6     86 | 2,8

.  12 | 0,2,3,5,6,8,9         37 | 4,7         62 | 0,6,8   87 | 4

.  13 | 0,1,4,5,8,9           38 | 2,5         63 | 0,3,9   88 | 0,8

.  14 | 3,4,8,9               39 | 0,3         64 | 4,8     89 | 4

.  15 | 2,3,8,9               40 | 0,4,8       65 | 4       90 | 0,9

.  16 | 1,2,8,9               41 | 1,2,6,7     66 | 0,6     91 | 1,2

.  17 | 0,1,8,9               42 | 0,2,6,8     67 | 2,9     92 | 4,6

.  18 | 0,8,9                 43 | 1,4,8       68 | 6       93 | 0,9

.  19 | 8,9                   44 | 0,4,8       69 | 3,9     94 | 3,7

.  20 | 0,2,4,6,8             45 | 0,5,9       70 | 0,7     95 | 2

.  21 | 0,1,3,4,6,7,9         46 | 2,6         71 | 0,7,8   96 | 6

.  22 | 0,2,4,6,8             47 | 3           72 | 0,2,9   97 | 1,8

.  23 | 1,3,6,8               48 | 0,8         73 | 3,6     98 | 4

.  24 | 0,4,6                 49 | 6           74 | 1,8     99 | 0,9  .

PROG

(Haskell)

a257770 n k = a257770_tabf !! n !! k

a257770_row n = filter belge [0..9] where

   belge k = n == (head $ dropWhile (< n) $

                  scanl (+) k $ cycle $ (map (read . return) . show) n)

a257770_tabf = map a257770_row [0..]

CROSSREFS

Cf. A257773 (row lengths), A257778 (min per row), A257778 (max per row),

Belgian-k numbers, k=0..9: A106039, A106439, A106518, A106596, A106631, A106792, A107014, A107018, A107032, A107043.

Sequence in context: A234583 A234584 A234585 * A027656 A142150 A276457

Adjacent sequences:  A257767 A257768 A257769 * A257771 A257772 A257773

KEYWORD

nonn,tabf,base

AUTHOR

Reinhard Zumkeller, May 08 2015

STATUS

approved

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Last modified October 17 12:50 EDT 2018. Contains 316280 sequences. (Running on oeis4.)