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A020941 Main diagonal of Wythoff array: w(n,n)=[ n*tau ]F(n+1)+(n-1)F(n), where tau=(1+sqrt(5))/2, F(n) = Fibonacci numbers. 1
1, 7, 16, 39, 84, 157, 309, 555, 1042, 1919, 3338, 6011, 10713, 18321, 32228, 54730, 95320, 165177, 278208, 478807, 803383, 1374926, 2346070, 3917414, 6656320, 11284381, 18772741, 31721202, 52672252, 88750072, 149303520, 247281057, 415039507, 695705846 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..34.

C. Kimberling, The first column of an interspersion, Fibonacci Quarterly 32 (1994), pp. 301-314.

C. Kimberling, Interspersions

N. J. A. Sloane, Classic Sequences

MATHEMATICA

Table[Floor[n*GoldenRatio]Fibonacci[n+1]+(n-1)Fibonacci[n], {n, 40}] (* Harvey P. Dale, Mar 09 2015 *)

PROG

(PARI) a(n) = floor(n*(1+sqrt(5))/2)*fibonacci(n+1) + (n-1)*fibonacci(n) \\ Michel Marcus, Mar 21 2013

CROSSREFS

Cf. A000045, A001622, A035513.

Sequence in context: A169877 A286710 A036834 * A024625 A055553 A066009

Adjacent sequences:  A020938 A020939 A020940 * A020942 A020943 A020944

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Harvey P. Dale, Mar 09 2015

STATUS

approved

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Last modified December 11 05:41 EST 2017. Contains 295868 sequences.