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A005830 a(n) = floor(tau*a(n-1)) + a(n-2) where tau is the golden ratio. 1
1, 3, 5, 11, 22, 46, 96, 201, 421, 882, 1848, 3872, 8113, 16999, 35617, 74628, 156367, 327635, 686491, 1438400, 3013871, 6314945, 13231666, 27724230, 58090412, 121716491, 255031831, 534366661, 1119655250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Michael Albert, Vít Jelínek, Michal Opler, Two examples of Wilf-collapse, arXiv:1912.07713 [math.CO], 2019.

MATHEMATICA

RecurrenceTable[{a[0]==1, a[1]==3, a[n]==Floor[GoldenRatio*a[n-1]]+a[n-2]}, a, {n, 30}] (* Harvey P. Dale, Dec 05 2018 *)

CROSSREFS

Cf. A001622 (tau).

Sequence in context: A341532 A293338 A168655 * A007008 A018110 A227806

Adjacent sequences:  A005827 A005828 A005829 * A005831 A005832 A005833

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 26 10:35 EDT 2021. Contains 346294 sequences. (Running on oeis4.)