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, 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

Offset

1,2

Links

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

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

Clark 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 * A318750 A024625 A055553

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