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 A261897 Triangle read by rows: T(n,k) (1 <= k <= n+1) = number of sequences of length n, dominated by the squares, with entries from [0,k] and largest entry k. 3
 1, 1, 1, 0, 2, 1, 0, 2, 3, 1, 0, 2, 5, 4, 1, 0, 0, 7, 9, 5, 1, 0, 0, 7, 16, 14, 6, 1, 0, 0, 7, 23, 30, 20, 7, 1, 0, 0, 7, 30, 53, 50, 27, 8, 1, 0, 0, 7, 37, 83, 103, 77, 35, 9, 1, 0, 0, 0, 44, 120, 186, 180, 112, 44, 10, 1, 0, 0, 0, 44, 164, 306, 366, 292, 156, 54, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS A242105 gives the first nonzero terms per row, without repetitions. - Reinhard Zumkeller, Sep 06 2015 LINKS Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened L. Haddad and C. Helou, Finite Sequences Dominated by the Squares, Journal of Integer Sequences, Volume 18, 2015, Issue 1, Article 15.1.8. EXAMPLE Triangle begins: 1, 1,1, 0,2,1, 0,2,3,1, 0,2,5,4,1, 0,0,7,9,5,1, 0,0,7,16,14,6,1, 0,0,7,23,30,20,7,1, 0,0,7,30,53,50,27,8,1, 0,0,7,37,83,103,77,35,9,1, 0,0,0,44,120,186,180,112,44,10,1, 0,0,0,44,164,306,366,292,156,54,11,1, ... PROG (Haskell) a261897 n k = a261897_tabl !! n !! (k-1) a261897_row n = a261897_tabl !! n a261897_tabl = [1] : f 1 0 [1] where    f t h xs | t <= (h + 1) ^ 2  = ys : f (t + 1) h ys             | otherwise         = ys' : f (t + 1) (h + 1) ys'             where ys = zipWith (+) ([0] ++ xs) (xs ++ [0])                   ys' = zipWith (+) ([0] ++ xs) (us ++ (0:vs) ++ [0])                   (us, _:vs) = splitAt h xs -- Reinhard Zumkeller, Sep 06 2015 CROSSREFS Cf. A242105, A261930 (row sums). Sequence in context: A051070 A104041 A104402 * A131084 A143067 A219605 Adjacent sequences:  A261894 A261895 A261896 * A261898 A261899 A261900 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Sep 05 2015 STATUS approved

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Last modified January 27 21:28 EST 2022. Contains 350654 sequences. (Running on oeis4.)