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A109821
Column 11 of array illustrated in A089574 and related to A034261.
8
27, 482, 3855, 20329, 82346, 277295, 813738, 2145712, 5192450, 11708366, 24881487, 50269005, 97217758, 180966915, 325691821, 568823951, 967074547, 1604701323, 2604691419, 4143692621, 6471712062, 9937820779, 15023357512, 22384420182, 32905773076, 47768686720
OFFSET
0,1
LINKS
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
Cf. A000330 (column 2), A086602 (column 3), A089574 (column 4), A107600 (column 5), A107601 (column 6), A109125 (column 7), A109126 (column 8), A109820 (column 9), A108538 (column 10), A109821 (column 11), A110553 (column 12), A110624 (column 13).
Sequence in context: A026028 A026543 A028046 * A057494 A024439 A026006
KEYWORD
nonn
AUTHOR
Alford Arnold, Jul 18 2005
EXTENSIONS
More terms from R. J. Mathar, Aug 28 2018
STATUS
approved