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 A219463 Triangle read by rows: T(n,k) = 1 - A047999(n,k), 0 <= k <= n. 6
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Sierpinski's triangle complemented. LINKS Reinhard Zumkeller, Rows n = 0..128 of triangle, flattened Eric Weisstein's World of Mathematics, Sierpinski Sieve Wikipedia, Sierpinski triangle Index entries for triangles and arrays related to Pascal's triangle FORMULA T(n,k) = if T(n-1,k-1) = T(n-1,k) then 1 else 0, 0 < k < n. EXAMPLE The triangle begins: 0: 0 1: 0 0 2: 0 1 0 3: 0 0 0 0 4: 0 1 1 1 0 5: 0 0 1 1 0 0 6: 0 1 0 1 0 1 0 7: 0 0 0 0 0 0 0 0 8: 0 1 1 1 1 1 1 1 0 9: 0 0 1 1 1 1 1 1 0 0 10: 0 1 0 1 1 1 1 1 0 1 0 11: 0 0 0 0 1 1 1 1 0 0 0 0 12: 0 1 1 1 0 1 1 1 0 1 1 1 0 13: 0 0 1 1 0 0 1 1 0 0 1 1 0 0 14: 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 15: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 MATHEMATICA A219463row[n_]:=Sign[BitAnd[Range[0, n], -1-n]]; Array[A219463row, 20, 0] (* Paolo Xausa, May 22 2023 *) PROG (Haskell) a219463 n k = a219463_tabl !! n !! k :: Int a219463_row n = a219463_tabl !! n a219463_tabl = map (map (1 -)) a047999_tabl (PARI) T(n, k)= bitand(n-k, k) != 0; \\ Joerg Arndt, May 22 2023 CROSSREFS Cf. A000004 (left and right edges), A057427 (central terms), A048967 (row sums = number of ones per row), A001316 (number of zeros per row), A219843 (rows as binary numbers). Sequence in context: A354035 A025457 A350289 * A286688 A356923 A356924 Adjacent sequences: A219460 A219461 A219462 * A219464 A219465 A219466 KEYWORD nonn,tabl AUTHOR Reinhard Zumkeller, Nov 30 2012 STATUS approved

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Last modified September 15 08:55 EDT 2024. Contains 375932 sequences. (Running on oeis4.)