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a(n) = Sum_{k >= 1} floor(n*phi^(3-k)).
2

%I #13 Jul 06 2019 11:32:18

%S 4,11,16,23,31,36,44,49,57,64,69,77,85,91,98,103,111,119,124,131,137,

%T 145,153,158,165,173,178,186,191,200,207,212,219,228,234,242,247,254,

%U 262,267,274,280,288,295,301,308,317,323,330,335,343,350

%N a(n) = Sum_{k >= 1} floor(n*phi^(3-k)).

%H C. Kimberling, <a href="https://www.jstor.org/stable/2975195">Problem 10520</a>, Amer. Math. Mon. 103 (1996) p. 347.

%Y Cf. A001622 (phi), A020960.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E Title improved and more terms from _Sean A. Irvine_, May 05 2019