OFFSET
0,1
LINKS
Georg Fischer, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
FORMULA
G.f.: 27 + 482*x -x^2*(3855 -29786*x +118759*x^2 -310071*x^3 +574122*x^4 -780978*x^5 +792535*x^6 -601009*x^7 +336759*x^8 -135622*x^9 +37194*x^10 -6228*x^11 +481*x^12) /(x-1)^13. - R. J. Mathar, Aug 28 2018
EXAMPLE
An examination of the relevant ordered Gaussian polynomials reveals the following distribution (beginning with partitions of length three):
1 10 15 1
6 52 180 216 28
12 114 530 1386 1547 266
18 168 880 3086 7007 7616 1554
therefore (by summing each row) this sequence begins
27
482
3855
20329
MATHEMATICA
LinearRecurrence[{13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {27, 482, 3855, 20329, 82346, 277295, 813738, 2145712, 5192450, 11708366, 24881487, 50269005, 97217758, 180966915, 325691821}, 1001] (* Georg Fischer, Feb 28 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alford Arnold, Jul 18 2005
EXTENSIONS
More terms from R. J. Mathar, Aug 28 2018
STATUS
approved