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Revision History for A179041 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A179041 Partial sums of ceiling(Fibonacci(n)/3).
(history; published version)
#17 by Alois P. Heinz at Thu Jul 04 03:13:39 EDT 2019
STATUS

proposed

approved

#16 by Jon E. Schoenfield at Thu Jul 04 03:13:04 EDT 2019
STATUS

editing

proposed

#15 by Jon E. Schoenfield at Thu Jul 04 03:13:02 EDT 2019
NAME

Partial sums of ceilceiling(Fibonacci(n)/3).

FORMULA

a(n)=) = round(Fibonacci(n+2)/3+ + 3*n/8- - 1/24).

a(n)=) = floor(Fibonacci(n+2)/3+ + 3*n/8+ + 1/4).

a(n)=ceil) = ceiling(Fibonacci(n+2)/3+ + 3*n/8- - 1/3).

a(n)=) = a(n-8)+) + Fibonacci(n-1)+) + Fibonacci(n-3)+) + 3, n> > 7.

a(n)=) = 2*a(n-1)-) - a(n-3)+) + a(n-8)-) - 2*a(n-9)+) + a(n-11), n> > 10.

G.f.: (x^9+ + x^8+ + x^4+ + x^3- - x)/((x+1)*(x^2+1)*(x^2+x-1)*(x-1)^2*(x^4+1)).

a(n) = -1/16 + + 3*n/8 -(- - (-1)^n/16 + + Fibonacci(n+2)/3 - - A057077(n)/8 +(- + (-1)^floor((n-1)/4)*A093148(n+1)/12. - . - _R. J. Mathar, _, Jan 08 2011

EXAMPLE

a(9)=) = 0+ + 1+ + 1+ + 1+ + 1+ + 2+ + 3+ + 5+ + 7+ + 12= = 33.

STATUS

approved

editing

#14 by Russ Cox at Fri Mar 30 18:35:49 EDT 2012
AUTHOR

_Mircea Merca (mircea.merca(AT)profinfo.edu.ro), _, Jan 04 2011

Discussion
Fri Mar 30 18:35
OEIS Server: https://oeis.org/edit/global/208
#13 by T. D. Noe at Wed Oct 19 11:02:04 EDT 2011
STATUS

proposed

approved

#12 by Mircea Merca at Wed Oct 19 09:23:43 EDT 2011
STATUS

editing

proposed

#11 by Mircea Merca at Wed Oct 19 09:23:37 EDT 2011
LINKS

Mircea Merca, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL14/Merca/merca3.html">Inequalities and Identities Involving Sums of Integer Functions</a> J. Integer Sequences, Vol. 14 (2011), Article 11.9.1.

STATUS

approved

editing

#10 by T. D. Noe at Fri Apr 29 02:28:58 EDT 2011
STATUS

proposed

approved

#9 by Mircea Merca at Fri Apr 29 01:30:08 EDT 2011
AUTHOR

Mircea Merca (mircea.merca(AT)teacherprofinfo.edu.comro), Jan 04 2011

STATUS

approved

proposed

#8 by R. J. Mathar at Sat Jan 08 13:15:48 EST 2011
STATUS

proposed

approved

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Last modified August 29 21:34 EDT 2024. Contains 375518 sequences. (Running on oeis4.)