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 A332529 Rectangular array by antidiagonals: T(n,k) = floor(n + k*r), where r = 1+ golden ratio = (1+sqrt(5))/2. 1
 0, 2, 1, 5, 3, 2, 7, 6, 4, 3, 10, 8, 7, 5, 4, 13, 11, 9, 8, 6, 5, 15, 14, 12, 10, 9, 7, 6, 18, 16, 15, 13, 11, 10, 8, 7, 20, 19, 17, 16, 14, 12, 11, 9, 8, 23, 21, 20, 18, 17, 15, 13, 12, 10, 9, 26, 24, 22, 21, 19, 18, 16, 14, 13, 11, 10, 28, 27, 25, 23, 22 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Column 0: Nonnegative integers. Row 0: Upper Wythoff sequence, A001950, with 0 prepended. Main Diagonal: A003231, with 0 prepended. Diagonal (2,6,9,13,...) = A054770. Diagonal (1,4,8,11,...) = A214971. Diagonal (2,5,9,12,...) = A284624. LINKS FORMULA T(n,k) = floor(n + k*r), where r = (golden ratio)^2 = (3+sqrt(5))/2. EXAMPLE Northwest corner:   0   2    5    7   10   13   15   1   3    6    8   11   14   16   2   4    7    9   12   15   17   3   5    8   10   13   16   18   4   6    9   11   14   17   19   5   7   10   12   15   18   20   6   8   11   13   16   19   21 As a triangle (antidiagonals):   0   1   2   2   3   5   3   4   6   7   4   5   7   8  10 MATHEMATICA t[n_, k_] := Floor[n + k*GoldenRatio]; Grid[Table[t[n, k], {n, 0, 10}, {k, 0, 10}]] (* A332529 array *) Table[t[n - k, k], {n, 0, 12}, {k, n, 0, -1}] // Flatten  (* A332529 sequence *) CROSSREFS Cf. A001950, A054770, A214971, A284624. Sequence in context: A197387 A171177 A171176 * A213849 A067418 A287548 Adjacent sequences:  A332526 A332527 A332528 * A332530 A332531 A332532 KEYWORD nonn,tabl,easy AUTHOR Clark Kimberling, Jun 15 2020 STATUS approved

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Last modified November 29 06:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)