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A109821
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Column 11 of array illustrated in A089574 and related to A034261.
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8
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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
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
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FORMULA
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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
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EXAMPLE
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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
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MATHEMATICA
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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 *)
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CROSSREFS
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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).
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KEYWORD
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nonn,changed
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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