

A128440


Array T by antidiagonals: T(n,k)=Floor(k*t^n) where t=golden ratio=(1+sqrt(5))/2.


3



1, 3, 2, 4, 5, 4, 6, 7, 8, 6, 8, 10, 12, 13, 11, 9, 13, 16, 20, 22, 17, 11, 15, 21, 27, 33, 35, 29, 12, 18, 25, 34, 44, 53, 58, 46, 14, 20, 29, 41, 55, 71, 87, 93, 76, 16, 23, 33, 47, 66, 89, 116, 140, 152, 122, 17, 26, 38, 54, 77, 107, 145, 187, 228, 245, 199, 19, 28, 42, 61
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OFFSET

1,2


COMMENTS

Row 1 = Lower Wythoff sequence = A000201; Row 2 = Upper Wythoff sequence = A001950; Column 1 = A014217 (after first term); T(n,n) = A128440(n). Every positive integer occurs exactly once in the first two rows.


LINKS

Table of n, a(n) for n=1..70.


FORMULA

a(n)=k*F(n1)+Floor(k*t*F(n)), where F=A000045, the Fibonacci numbers.


EXAMPLE

Northwest corner:
1 3 4 6 8 9
2 5 7 10 13 15
4 8 12 16 21 25
6 13 20 27 34 41


CROSSREFS

Cf. A000045, A000201, A001950, A128439.
Sequence in context: A021759 A070221 A020814 * A063201 A173258 A039858
Adjacent sequences: A128437 A128438 A128439 * A128441 A128442 A128443


KEYWORD

nonn,tabl


AUTHOR

Clark Kimberling, Mar 03 2007


STATUS

approved



