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A020942 First column of 3rd-order Zeckendorf array. 6
1, 5, 7, 10, 14, 18, 20, 24, 26, 29, 33, 35, 38, 42, 46, 48, 51, 55, 59, 61, 65, 67, 70, 74, 78, 80, 84, 86, 89, 93, 95, 98, 102, 106, 108, 112, 114, 117, 121, 123, 126, 130, 134, 136, 139, 143, 147, 149, 153, 155, 158, 162, 164, 167, 171, 175, 177, 180, 184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

I would like to get similar sequences where the least term in the representation is 2 [ gives 2 8 11 15 21 27 30... ], 3, 4, 6, etc. They are the 2nd, 3rd, etc. columns of the 3rd-order Zeckendorf array.

LINKS

Table of n, a(n) for n=1..59.

Larry Ericksen and Peter G. Anderson, Patterns in differences between rows in k-Zeckendorf arrays, The Fibonacci Quarterly, Vol. 50, February 2012. - N. J. A. Sloane, Jun 10 2012

C. Kimberling, The Zeckendorf array equals the Wythoff array, Fibonacci Quarterly 33 (1995) 3-8.

FORMULA

Any number n has unique representation as a sum of terms from {1, 2, 3, 4, 6, 9, 13, 19, ...} (cf. A000930) such that no two terms are adjacent or pen-adjacent; e.g., 7=6+1. Sequence gives all n where that representation involves 1.

EXAMPLE

1=1; 5=4+1; 7=6+1; 10=9+1; etc.

CROSSREFS

Sequence in context: A282107 A022441 A156243 * A190035 A071911 A070875

Adjacent sequences:  A020939 A020940 A020941 * A020943 A020944 A020945

KEYWORD

nonn,easy,nice

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Naohiro Nomoto, Sep 17 2001

STATUS

approved

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Last modified February 24 22:41 EST 2018. Contains 299627 sequences. (Running on oeis4.)