A005909 - OEIS

A005909

a(n) = [ tau*a(n-1) ] + [ tau*a(n-2) ].

0, 2, 3, 7, 15, 35, 80, 185, 428, 991, 2295, 5316, 12314, 28525, 66078, 153070, 354588, 821407, 1902799, 4407857, 10210855, 23653572, 54793793, 126930502, 294036085, 681138245, 1577865210, 3655144370

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OFFSET

0,2

COMMENTS

Tau = the Golden Ratio = (sqrt(5)-1)/2. - Harvey P. Dale, Jan 11 2013

LINKS

Table of n, a(n) for n=0..27.

MATHEMATICA

RecurrenceTable[{a[0]==0, a[1]==2, a[n]==Floor[GoldenRatio*a[n-1]]+ Floor[ GoldenRatio*a[n-2]]}, a[n], {n, 30}] (* Harvey P. Dale, Jan 11 2013 *)

CROSSREFS

Sequence in context: A001932 A213920 A248869 * A003006 A052321 A114584

Adjacent sequences: A005906 A005907 A005908 * A005910 A005911 A005912

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved