The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A029141 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A029141

Expansion of 1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)).
(history; published version)

#15 by Alois P. Heinz at Wed Mar 18 08:24:52 EDT 2020

STATUS

proposed

approved

#14 by Jinyuan Wang at Wed Mar 18 07:56:15 EDT 2020

STATUS

editing

proposed

#13 by Jinyuan Wang at Wed Mar 18 07:56:08 EDT 2020

COMMENTS

Number of partitions of n into parts 2, 3, 4, and 11. [_- _Joerg Arndt_, Jun 20 2013]

LINKS

<a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,1,-1,-1,-1,0,1,0,1,0,-1,-1,-1,1,1,1,0,-1).

PROG

(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^11)) + O(x^99)) \\ Jinyuan Wang, Mar 18 2020

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#12 by Alois P. Heinz at Thu Jun 20 11:29:39 EDT 2013

STATUS

proposed

approved

#11 by Joerg Arndt at Thu Jun 20 10:08:01 EDT 2013

STATUS

editing

proposed

#10 by Joerg Arndt at Thu Jun 20 10:07:56 EDT 2013

COMMENTS

Number of partitions of n into parts 2, 3, 4, and 11. [Joerg Arndt, Jun 20 2013]

MATHEMATICA

CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)), {x, 0, 60}], x] (* From _Harvey P. Dale, _, Sep 07 2011 *)

STATUS

proposed

editing

#9 by Joerg Arndt at Thu Jun 20 10:06:37 EDT 2013

STATUS

editing

proposed

#8 by Joerg Arndt at Thu Jun 20 10:06:28 EDT 2013

FORMULA

a(n) = floor((198*(-1+(-1)^n)*(-1)^((n-1)*n/2)+(n+10)*(2*n^2+40*n+125+99*(-1)^n)+1216)/3168). _- _Tani Akinari_, Jun 20 2013

STATUS

proposed

editing

#7 by Tani Akinari at Thu Jun 20 05:52:42 EDT 2013

STATUS

editing

proposed

#6 by Tani Akinari at Thu Jun 20 05:50:43 EDT 2013

FORMULA

a(n) = floor((198*(-1+(-1)^n)*(-1)^((n-1)*n/2)+(n+10)*(2*n^2+40*n+125+99*(-1)^n)+1216)/3168). Tani Akinari, Jun 20 2013

STATUS

approved

editing