The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A194110

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A194110

Sum{floor(j*sqrt(5)) : 1<=j<=n}; n-th partial sum of Beatty sequence for sqrt(5).
(history; published version)

#11 by Andrey Zabolotskiy at Mon Feb 27 08:05:46 EST 2023

STATUS

editing

approved

#10 by Andrey Zabolotskiy at Mon Feb 27 08:05:33 EST 2023

NAME

Sum{floor(j*sqrt(5) ) : 1<=j<=n}; n-th partial sum of Beatty sequence for sqrt(5).

STATUS

approved

editing

#9 by Susanna Cuyler at Sun May 24 18:32:40 EDT 2020

STATUS

proposed

approved

#8 by Robert Israel at Sun May 24 17:57:24 EDT 2020

STATUS

editing

proposed

#7 by Robert Israel at Sun May 24 17:57:01 EDT 2020

MAPLE

ListTools:-PartialSums([seq(floor(n*sqrt(5)), n=1..100)]); # Robert Israel, May 24 2020

#6 by Robert Israel at Sun May 24 16:18:12 EDT 2020

LINKS

Robert Israel, <a href="/A194110/b194110.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:57:40 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Aug 15 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#4 by T. D. Noe at Mon Aug 15 16:15:39 EDT 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Mon Aug 15 15:55:49 EDT 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Mon Aug 15 15:46:11 EDT 2011

NAME

allocated Sum{floor(j*sqrt(5) : 1<=j<=n}; n-th partial sum of Beatty sequence for Clark Kimberlingsqrt(5).

DATA

2, 6, 12, 20, 31, 44, 59, 76, 96, 118, 142, 168, 197, 228, 261, 296, 334, 374, 416, 460, 506, 555, 606, 659, 714, 772, 832, 894, 958, 1025, 1094, 1165, 1238, 1314, 1392, 1472, 1554, 1638, 1725, 1814, 1905, 1998, 2094, 2192, 2292, 2394, 2499, 2606

OFFSET

1,1

MATHEMATICA

c[n_] := Sum[Floor[j*Sqrt[5]], {j, 1, n}];

c = Table[c[n], {n, 1, 90}]

CROSSREFS

Cf. A022839 (Beatty sequence for sqrt(5)).

KEYWORD

allocated

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Aug 15 2011

STATUS

approved

editing