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A259601 Triangular array: sums of two distinct upper Wythoff numbers. 5
7, 9, 12, 12, 15, 17, 15, 18, 20, 23, 17, 20, 22, 25, 28, 20, 23, 25, 28, 31, 33, 22, 25, 27, 30, 33, 35, 38, 25, 28, 30, 33, 36, 38, 41, 43, 28, 31, 33, 36, 39, 41, 44, 46, 49, 30, 33, 35, 38, 41, 43, 46, 48, 51, 54, 33, 36, 38, 41, 44, 46, 49, 51, 54, 57 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Row n shows the numbers v(m) + v(n), where v = A001950 (upper 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..66.

EXAMPLE

17 = 7 + 10 = v(3) + v(4), so that 17 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:

7

9    12

12   15   17

15   18   20   23

17   20   22   25   28

20   23   25   28   31   33

22   25   27   30   33   35   38

25   28   30   33   36   38   41   43

MATHEMATICA

r = GoldenRatio; z = 13; v[n_] := v[n] = Floor[n*r^2];

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

TableForm[t] (* A259601 array *)

Flatten[t]   (* A259601 sequence *)

PROG

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

CROSSREFS

Cf. A000045, A001950, A259556, A259600.

Sequence in context: A023180 A029474 A302134 * A075335 A250220 A020720

Adjacent sequences:  A259598 A259599 A259600 * A259602 A259603 A259604

KEYWORD

nonn,tabl,easy

AUTHOR

Clark Kimberling, Jul 22 2015

STATUS

approved

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Last modified July 21 22:02 EDT 2019. Contains 325210 sequences. (Running on oeis4.)