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 A164874 Triangle read by rows: T(1,1)=2; T(n,k)=2*T(n-1,k)+1, 1<=k
 2, 5, 6, 11, 13, 14, 23, 27, 29, 30, 47, 55, 59, 61, 62, 95, 111, 119, 123, 125, 126, 191, 223, 239, 247, 251, 253, 254, 383, 447, 479, 495, 503, 507, 509, 510, 767, 895, 959, 991, 1007, 1015, 1019, 1021, 1022, 1535, 1791, 1919, 1983, 2015, 2031, 2039, 2043 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS T(n,k) = A030130(n*(n-1)/2 + k + 1); A023416(T(n,k)) = 1, 1<=k<=n; A059673(n) = sum of n-th row; T(n,1) = A055010(n); T(n,2) = A086224(n-2) for n > 1; T(n,n-1) = A036563(n+1) for n > 1; T(n,n) = A000918(n+1). All terms contain exactly 1 zero in binary representation. LINKS Reinhard Zumkeller, Rows n = 1..100 of triangle, flattened FORMULA T(n,k) = 2^(n+1) - 2^(n-k) - 1, 1 <= k <= n. EXAMPLE Initial rows: . 1: 2 . 2: 5 6 . 3: 11 13 14 . 4: 23 27 29 30 . 5: 47 55 59 61 62 . 6: 95 111 119 123 125 126 also in binary representation: . 10 . 101 110 . 1011 1101 1110 . 10111 11011 11101 11110 . 101111 110111 111011 111101 111110 . 1011111 1101111 1110111 1111011 1111101 1111110 . PROG (Haskell) a164874 n k = a164874_tabl !! (n-1) !! (k-1) a164874_row n = a164874_tabl !! (n-1) a164874_tabl = map reverse \$ iterate f [2] where f xs@(x:_) = (2 * x + 2) : map ((+ 1) . (* 2)) xs -- Reinhard Zumkeller, Mar 31 2015 CROSSREFS Cf. A030130, A023416, A059673, A055010, A086224, A036563, A000918. Sequence in context: A140144 A328893 A030130 * A337498 A045845 A002133 Adjacent sequences: A164871 A164872 A164873 * A164875 A164876 A164877 KEYWORD nonn,tabl AUTHOR Reinhard Zumkeller, Aug 29 2009 STATUS approved

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Last modified March 22 11:07 EDT 2023. Contains 361423 sequences. (Running on oeis4.)