A394647 Rectangular array, read by descending antidiagonals: numerators in the best approximating array to the golden ratio, phi (A001622). See A394037.

2, 3, 1, 5, 4, 9, 8, 7, 12, 17, 13, 11, 14, 17, 22, 21, 18, 19, 25, 27, 30, 34, 29, 23, 28, 43, 33, 38, 55, 47, 31, 35, 49, 46, 59, 43, 89, 76, 37, 41, 53, 51, 64, 67, 80, 144, 123, 50, 44, 70, 51, 67, 77, 85, 85, 233, 199, 60, 45, 79, 59, 69, 77, 106, 93, 101

Offset

1,1

Links

Table of n, a(n) for n=1..66.

Example

Corner:
    2    3    5    8   13   21   34   55   89
    1    4    7   11   18   29   47   76  123
    9   12   14   19   23   31   37   50   60
   17   17   25   28   35   41   44   45   57
   22   27   43   49   53   70   79   86  113
   30   33   46   51   51   59   61   75   82
   38   59   64   67   69   83   96  103  108
   43   67   77   77   98  101  109  122  124

Crossrefs

Cf. A001622, A000045 (row 1), A000032 (row 2), A394033, A394037.

Sequence in context: A345145 A114690 A336364 * A294223 A355618 A376414

Adjacent sequences: A394644 A394645 A394646 * A394648 A394649 A394650

Keyword

nonn,tabl,frac

Author

Clark Kimberling, Mar 27 2026

Extensions

a(20) and a(25) corrected by Sean A. Irvine, Apr 16 2026

Status

approved