The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A165943 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A165943

Heptasection A061037(7*n+2).
(history; published version)

#32 by Joerg Arndt at Tue Oct 08 06:24:34 EDT 2024

STATUS

proposed

approved

#31 by Jason Yuen at Mon Oct 07 22:51:58 EDT 2024

STATUS

editing

proposed

#30 by Jason Yuen at Mon Oct 07 22:51:56 EDT 2024

EXTENSIONS

Partially edited and extended by R. J. Mathar, Mar 02 2010)

STATUS

approved

editing

#29 by Charles R Greathouse IV at Thu Sep 08 08:45:48 EDT 2022

PROG

(MAGMAMagma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); [0] cat Coefficients(R!(7*x*(11 + 9*x + 75*x^2 + 8*x^3 + 162*x^4 + 42*x^5 + 146*x^6 + 6*x^7 + 51*x^8 + 5*x^9 + 3*x^10)/((1 - x)^3*(1 + x)^3*(1 + x^2)^3))); // G. C. Greubel, Sep 19 2018

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#28 by Susanna Cuyler at Thu Sep 20 00:34:58 EDT 2018

STATUS

proposed

approved

#27 by G. C. Greubel at Wed Sep 19 22:46:20 EDT 2018

STATUS

editing

proposed

#26 by G. C. Greubel at Wed Sep 19 22:46:15 EDT 2018

LINKS

G. C. Greubel, <a href="/A165943/b165943.txt">Table of n, a(n) for n = 0..5000</a>

MATHEMATICA

CoefficientList[Series[7*x*(11 + 9*x + 75*x^2 + 8*x^3 + 162*x^4 + 42*x^5 + 146*x^6 + 6*x^7 + 51*x^8 + 5*x^9 + 3*x^10)/((1 - x)^3*(1 + x)^3*(1 + x^2)^3), {x, 0, 50}], x] (* G. C. Greubel, Sep 19 2018 *)

PROG

(PARI) x='x+O('x^50); concat([0], Vec(7*x*(11 + 9*x + 75*x^2 + 8*x^3 + 162*x^4 + 42*x^5 + 146*x^6 + 6*x^7 + 51*x^8 + 5*x^9 + 3*x^10)/((1 - x)^3*(1 + x)^3*(1 + x^2)^3))) \\ G. C. Greubel, Sep 19 2018

(MAGMA) m:=25; R<x>:=PowerSeriesRing(Integers(), m); [0] cat Coefficients(R!(7*x*(11 + 9*x + 75*x^2 + 8*x^3 + 162*x^4 + 42*x^5 + 146*x^6 + 6*x^7 + 51*x^8 + 5*x^9 + 3*x^10)/((1 - x)^3*(1 + x)^3*(1 + x^2)^3))); // G. C. Greubel, Sep 19 2018

STATUS

approved

editing

#25 by N. J. A. Sloane at Wed Apr 20 01:29:43 EDT 2016

STATUS

editing

approved

#24 by N. J. A. Sloane at Wed Apr 20 01:28:25 EDT 2016

FORMULA

a(n) = 3*a(n-4) - 3*a(n-8) + a(n-12), n>12. - Conjectured by R. J. Mathar, Mar 02 2010, proven proved by Robert Israel, Apr 20 2016

STATUS

proposed

editing

Discussion

Wed Apr 20

01:29

N. J. A. Sloane: "proved" is correct past tense of "to prove"

#23 by Robert Israel at Wed Apr 20 01:26:56 EDT 2016

STATUS

editing

proposed