OFFSET
1,9
COMMENTS
This is a more compact version of the triangle in A261015, ending each row at the last nonzero entry.
LINKS
Alois P. Heinz, N. J. A. Sloane, R. Zumkeller and Hiroaki Yamanouchi, Rows n = 1..58, flattened (rows 17..25 from R. Zumkeller, rows 26..36 from Alois P. Heinz)
R. Zumkeller, The first 25 rows of the triangle, displayed as a triangle (similar to the way the rows are shown in the Example section, but showing 25 rows).
EXAMPLE
The first 16 rows are:
1, 1,
1, 1, 1, 1,
1, 1, 2, 3, 1,
1, 1, 3, 6, 4, 1,
1, 1, 4, 11, 10, 5,
1, 1, 5, 19, 21, 15, 0, 2,
1, 1, 6, 32, 40, 35, 2, 9, 2,
1, 1, 7, 53, 72, 73, 6, 31, 10, 2,
1, 1, 8, 87, 125, 144, 15, 79, 40, 12,
1, 1, 9, 142, 212, 274, 32, 185, 116, 52,
1, 1, 10, 231, 354, 509, 64, 408, 296, 168, 2, 4,
1, 1, 11, 375, 585, 931, 120, 864, 699, 461, 24, 24,
1, 1, 12, 608, 960, 1685, 218, 1771, 1557, 1133, 130, 110, 2, 4,
1, 1, 13, 985, 1568, 3027, 385, 3555, 3325, 2612, 471, 387, 14, 24, 0, 16,
1, 1, 14, 1595, 2553, 5409, 668, 7021, 6893, 5759, 1401, 1135, 92, 120, 0, 90, 16,
1, 1, 15, 2582, 4148, 9628, 1142, 13696, 13964, 12309, 3734, 2972, 373, 439, 28, 390, 98, 16,
...
PROG
(Haskell)
import Data.List (isInfixOf, sort, group)
a261019 n k = a261019_tabf !! (n-1) !! k
a261019_row n = a261019_tabf !! (n-1)
a261019_tabf = map (i 0 . group . sort . map f) a076478_tabf
where f bs = g a030308_tabf where
g (cs:css) | isInfixOf cs bs = g css
| otherwise = foldr (\d v -> 2 * v + d) 0 cs
i _ [] = []
i r gss'@(gs:gss) | head gs == r = (length gs) : i (r + 1) gss
| otherwise = 0 : i (r + 1) gss'
-- Reinhard Zumkeller, Aug 18 2015
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Alois P. Heinz and N. J. A. Sloane, Aug 17 2015
STATUS
approved