[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Revision History for A011906 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
If b(n) is A011900(n) and c(n) is A001109(n), then a(n) = b(n)*c(n) = b(n) + (b(n)+1) + (b(n)+2) + ... + c(n).
(history; published version)
#30 by OEIS Server at Fri Oct 18 06:08:52 EDT 2024
LINKS

G. C. Greubel, <a href="/A011906/b011906_1.txt">Table of n, a(n) for n = 1..650</a>

#29 by Joerg Arndt at Fri Oct 18 06:08:52 EDT 2024
STATUS

reviewed

approved

Discussion
Fri Oct 18
06:08
OEIS Server: Installed first b-file as b011906.txt.
#28 by Michel Marcus at Fri Oct 18 01:42:49 EDT 2024
STATUS

proposed

reviewed

Discussion
Fri Oct 18
02:20
G. C. Greubel: For SageMath the formula is def A011906(n) : return (1 -chebyshev_U(n, 17) + 41*lucas_number1(n, 34, 1) + 8*chebyshev_U(n-1, 3))/16
#27 by G. C. Greubel at Fri Oct 18 01:30:04 EDT 2024
STATUS

editing

proposed

Discussion
Fri Oct 18
01:42
Michel Marcus: I did not check new formula
#26 by G. C. Greubel at Fri Oct 18 01:29:57 EDT 2024
LINKS

G. C. Greubel, <a href="/A011906/b011906_1.txt">Table of n, a(n) for n = 1..650</a>

FORMULA

G.f.: x*(-1+-23*x-+33*x^2+-3*x^3)/((x-1)*(-x^2)*(1-34*x+1x^2)*(1-6*x+x^2)).

a(n) = (1/16)*(1 - A029547(n) + 41*A091761(n) + 8*A001109(n)). - G. C. Greubel, Oct 18 2024

PROG

(Magma)

R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!( x*(1-23*x+33*x^2-3*x^3)/((1-x)*(1-34*x+x^2)*(1-6*x+x^2)) )); // G. C. Greubel, Oct 18 2024

(SageMath)

def A011906_list(prec):

P.<x> = PowerSeriesRing(ZZ, prec)

return P( x*(1-23*x+33*x^2-3*x^3)/((1-x)*(1-34*x+x^2)*(1-6*x+x^2)) ).list()

a=A011906_list(30); a[1:] # G. C. Greubel, Oct 18 2024

CROSSREFS
STATUS

approved

editing

#25 by Andrey Zabolotskiy at Thu Apr 25 09:30:02 EDT 2024
STATUS

editing

approved

#24 by Andrey Zabolotskiy at Thu Apr 25 09:30:01 EDT 2024
FORMULA

From R. J. Mathar, Apr 15 2010: (Start)

STATUS

approved

editing

#23 by Sean A. Irvine at Fri Aug 07 19:19:32 EDT 2020
STATUS

proposed

approved

#22 by Joerg Arndt at Sat Jul 18 02:25:31 EDT 2020
STATUS

editing

proposed

#21 by Joerg Arndt at Sat Jul 18 02:25:25 EDT 2020
PROG

(TI-BASIC)

Clrio:Input "n", n:Lbl colorin:n+1(Sto)k:Lbl colorin2:

If (Sum)(n, n, n, k)=n*k Then Disp n:Disp k:Disp n*k:n+1(Sto)n:Goto colorin:

ElseIf n*k>(Sum)(n, n, n, k) Then:k+1(Sto)k:Goto colorin2:

ElseIf n*k<(Sum)(n, n, n, k) Then:n+1(Sto)n:Goto colorin:EndIf:EndPrgm

César Aguilera, Sep 16 2017

STATUS

proposed

editing