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A259600 Triangular array: sums of two distinct lower Wythoff numbers. 5
4, 5, 7, 7, 9, 10, 9, 11, 12, 14, 10, 12, 13, 15, 17, 12, 14, 15, 17, 19, 20, 13, 15, 16, 18, 20, 21, 23, 15, 17, 18, 20, 22, 23, 25, 26, 17, 19, 20, 22, 24, 25, 27, 28, 30, 18, 20, 21, 23, 25, 26, 28, 29, 31, 33, 20, 22, 23, 25, 27, 28, 30, 31, 33, 35, 36 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Row n shows the numbers u(m) + u(n), where u = A000201 (lower Wythoff sequence), for m=1..n-1, for n >= 2. (The offset is 2, so that the top row is counted as row 2.)

LINKS

Table of n, a(n) for n=2..67.

EXAMPLE

10 = 4 + 6 = u(3) + u(4), so that 10 appears as the final term in row 4. (The offset is 2, so that the top row is counted as row 2.) Rows 2 to 9:

4

5    7

7    9    10

9    11   12   14

10   12   13   15   17

12   14   15   17   19   20

13   15   16   18   20   21   23

15   17   18   20   22   23   25   26

MATHEMATICA

r = GoldenRatio; z = 20; u[n_] := u[n] = Floor[n*r];

s[m_, n_] := u[m] + u[n]; t = Table[s[m, n], {n, 2, z}, {m, 1, n - 1}];

TableForm[t]  (* A259600 array *)

Flatten[t]  (* A259600 sequence *)

PROG

(PARI) tabl(nn) = {r=(sqrt(5)+1)/2; for (n=2, nn, for (k=1, n-1, print1(floor(n*r) + floor(k*r), ", "); ); print(); ); } \\ Michel Marcus, Jul 30 2015

CROSSREFS

Cf. A259556, A259601.

Sequence in context: A004221 A239504 A033557 * A088298 A075992 A022294

Adjacent sequences:  A259597 A259598 A259599 * A259601 A259602 A259603

KEYWORD

nonn,tabl,easy

AUTHOR

Clark Kimberling, Jul 22 2015

STATUS

approved

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Last modified July 23 14:36 EDT 2019. Contains 325255 sequences. (Running on oeis4.)