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 A256659 Rectangular array by antidiagonals:  row n consists of numbers k such that -F(n+1) is the trace of the minimal alternating Fibonacci representation of k, where F = A000045 (Fibonacci numbers). 2
 4, 7, 6, 12, 11, 10, 20, 19, 18, 16, 25, 32, 31, 29, 26, 33, 40, 52, 50, 47, 42, 38, 53, 65, 84, 81, 76, 68, 41, 61, 86, 105, 136, 131, 123, 110, 46, 66, 99, 139, 170, 220, 212, 199, 178, 54, 74, 107, 160, 225, 275, 356, 343, 322, 288, 59, 87, 120, 173, 259 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A256655 for definitions.  This array and the array at A256658 partition the positive integers.  The row differences are Fibonacci numbers.   The columns satisfy the Fibonacci recurrence x(n) = x(n-1) + x(n-2). LINKS EXAMPLE Northwest corner: 4    7    12    20    25    33    38    41    46 6    11   19    32    40    53    61    66    74 10   18   31    52    65    86    99    102   120 16   29   50    84    105   139   160   173   194 26   47   81    136   170   225   259   280   314 MATHEMATICA b[n_] = Fibonacci[n]; bb = Table[b[n], {n, 1, 70}]; h[0] = {1}; h[n_] := Join[h[n - 1], Table[b[n + 2], {k, 1, b[n]}]]; g = h[18];  r[0] = {0}; r[n_] := If[MemberQ[bb, n], {n}, Join[{g[[n]]}, -r[g[[n]] - n]]]; t = Table[Last[r[n]], {n, 0, 1000}];  (* A256656 *) TableForm[Table[Flatten[-1 + Position[t, b[n]]], {n, 2, 8}]]   (* A256658 *) TableForm[Table[Flatten[-1 + Position[t, -b[n]]], {n, 2, 8}]]  (* A256659 *) CROSSREFS Cf. A000045, A256655, A246658. Sequence in context: A079354 A255248 A122460 * A063845 A188730 A019714 Adjacent sequences:  A256656 A256657 A256658 * A256660 A256661 A256662 KEYWORD nonn,tabl,easy AUTHOR Clark Kimberling, Apr 08 2015 STATUS approved

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Last modified September 18 06:07 EDT 2021. Contains 347509 sequences. (Running on oeis4.)