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 A099238 Square array read by antidiagonals with rows generated by 1/(1-x-x^(k+1)). 4
 1, 1, 2, 1, 1, 4, 1, 1, 2, 8, 1, 1, 1, 3, 16, 1, 1, 1, 2, 5, 32, 1, 1, 1, 1, 3, 8, 64, 1, 1, 1, 1, 2, 4, 13, 128, 1, 1, 1, 1, 1, 3, 6, 21, 256, 1, 1, 1, 1, 1, 2, 4, 9, 34, 512, 1, 1, 1, 1, 1, 1, 3, 5, 13, 55, 1024, 1, 1, 1, 1, 1, 1, 2, 4, 7, 19, 89, 2048 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Sections of rows are given by array A099233. Sums of antidiagonals yield A097939. LINKS FORMULA Square array T(n, k) = Sum_{j=0..floor(n/(k+1))} binomial(n-k*j, j), n, k>=0. EXAMPLE Rows begin 1,   2,   4,   8,  16,  32,  64, 128, 256, ... (A000079) 1,   1,   2,   3,   5,   8,  13,  21,  34, ... (A000045) 1,   1,   1,   2,   3,   4,   6,   9,  13, ... (A000930) 1,   1,   1,   1,   2,   3,   4,   5,   7, ... (A003269) 1,   1,   1,   1,   1,   2,   3,   4,   5, ... (A003520) CROSSREFS Sequence in context: A192005 A333810 A205592 * A306846 A327315 A141450 Adjacent sequences:  A099235 A099236 A099237 * A099239 A099240 A099241 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 08 2004 STATUS approved

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Last modified May 28 12:27 EDT 2020. Contains 334681 sequences. (Running on oeis4.)