The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A029057 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A029057

Expansion of 1/((1-x)(1-x^3)(1-x^8)(1-x^12)).
(history; published version)

#13 by Alois P. Heinz at Tue Mar 24 21:18:25 EDT 2020

STATUS

proposed

approved

#12 by Jinyuan Wang at Tue Mar 24 20:58:44 EDT 2020

STATUS

editing

proposed

#11 by Jinyuan Wang at Tue Mar 24 20:58:31 EDT 2020

COMMENTS

Number of partitions of n into parts 1, 3, 8, and 12. [_- _Joerg Arndt_, May 22 2014]

LINKS

<a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1,0,0,0,1,-1,0,-1,2,-1,0,-1,1,0,0,0,-1,1,0,1,-1).

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^8)(1-x^12)), {x, 0, 90}], x] (* Jinyuan Wang, Mar 24 2020 *)

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#10 by Michel Marcus at Thu May 22 09:15:25 EDT 2014

STATUS

reviewed

approved

#9 by Joerg Arndt at Thu May 22 09:03:01 EDT 2014

STATUS

proposed

reviewed

#8 by Joerg Arndt at Thu May 22 04:07:19 EDT 2014

STATUS

editing

proposed

#7 by Joerg Arndt at Thu May 22 04:07:00 EDT 2014

COMMENTS

Number of partitions of n into parts 1, 3, 8, and 12. [Joerg Arndt, May 22 2014]

STATUS

proposed

editing

#6 by Tani Akinari at Thu May 22 02:23:14 EDT 2014

STATUS

editing

proposed

#5 by Tani Akinari at Thu May 22 02:22:45 EDT 2014

PROG

(PARI) a(n)=round((n+12)*(2*n^2+48*n+179+9*(-1)^n)/3456+[2*(n\2)+12, 1][n%2+1]*(-1)^(n\2)/96-[-2, 1, 1][n%3+1]*(n\3+1)/36) \\ Tani Akinari, May 21 22 2014

#4 by Tani Akinari at Thu May 22 02:22:12 EDT 2014

PROG

(PARI) a(n)=round((n+12)*(2*n^2+48*n+179+9*(-1)^n)/3456+[2*(n\2)+12, 1][n%2+1]*(-1)^(n\2)/96-[-2, 1, 1][n%3+1]*(n\3+1)/36) \\ Tani Akinari, May 21 2014

STATUS

approved

editing