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

Author

Clark Kimberling

Keywords

• nonn

Links

• Clark Kimberling, The first column of an interspersion, Fibonacci Quarterly 32 (1994), pp. 301-314.
• Clark Kimberling, Interspersions
• N. J. A. Sloane, Classic Sequences

Crossrefs

Cf. A000045, A001622, A035513.

Programs

Mathematica

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

PARI

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

Extensions

More terms from Harvey P. Dale, Mar 09 2015