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 A067576 Array T(i,j) read by downward antidiagonals, where T(i,j) is the j-th term whose binary expansion has i 1's. 9
 1, 2, 3, 4, 5, 7, 8, 6, 11, 15, 16, 9, 13, 23, 31, 32, 10, 14, 27, 47, 63, 64, 12, 19, 29, 55, 95, 127, 128, 17, 21, 30, 59, 111, 191, 255, 256, 18, 22, 39, 61, 119, 223, 383, 511, 512, 20, 25, 43, 62, 123, 239, 447, 767, 1023, 1024, 24, 26, 45, 79, 125, 247, 479, 895, 1535, 2047 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is a permutation of the positive integers; the inverse permutation is A356419. - Jianing Song, Aug 06 2022 LINKS Ivan Neretin, Table of n, a(n) for n = 1..8001 (126 antidiagonals) Index entries for sequences that are permutations of the natural numbers EXAMPLE Array begins: j=1 j=2 j=3 j=4 j=5 j=6 i=1: 1, 2, 4, 8, 16, 32, ... i=2: 3, 5, 6, 9, 10, 12, ... i=3: 7, 11, 13, 14, 19, 21, ... i=4: 15, 23, 27, 29, 30, 39, ... i=5: 31, 47, 55, 59, 61, 62, ... i=6: 63, 95, 111, 119, 123, 125, ... MATHEMATICA a = {}; Do[ a = Append[a, Last[ Take[ Select[ Range[2^13], Count[ IntegerDigits[ #, 2], 1] == j & ], i - j]]], {i, 2, 12}, {j, 1, i - 1} ]; a CROSSREFS Cf. A000120, A356419. T(n,n) gives A036563(n+1). The antidiagonals are read in the opposite direction from those in A066884. Antidiagonal sums give A361074. Cf. A000079, A018900, A014311, A014312, A014313, A023688, A023689, A023690, A023691. Sequence in context: A194068 A194062 A085177 * A364772 A107900 A112922 Adjacent sequences: A067573 A067574 A067575 * A067577 A067578 A067579 KEYWORD base,easy,nonn,tabl AUTHOR Robert G. Wilson v, Jan 30 2002 STATUS approved

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Last modified September 25 23:09 EDT 2023. Contains 365649 sequences. (Running on oeis4.)