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A290127
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a(n) = (1/5760)*(n + 5)*(15*n^7 + 225*n^6 + 1265*n^5 + 3707*n^4 + 7120*n^3 + 4900*n^2 - 6480*n + 27648).
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3
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40, 252, 1457, 6168, 20773, 59279, 149271, 340821, 719187, 1422247, 2663718, 4763315, 8185110, 13585456, 21871946, 34274982, 52433634, 78497574, 115246975, 166232370, 235936571, 329960853, 455237713, 620272619, 835417269, 1113176985, 1468554972, 1919436277
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history;
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OFFSET
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1,1
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LINKS
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Colin Barker, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
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FORMULA
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G.f.: x*(40 - 108*x + 629*x^2 - 1233*x^3 + 1585*x^4 - 1306*x^5 + 666*x^6 - 192*x^7 + 24*x^8) / (1 - x)^9. - Colin Barker, Aug 09 2017
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PROG
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(PARI) Vec(x*(40 - 108*x + 629*x^2 - 1233*x^3 + 1585*x^4 - 1306*x^5 + 666*x^6 - 192*x^7 + 24*x^8) / (1 - x)^9 + O(x^30)) \\ Colin Barker, Aug 09 2017
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CROSSREFS
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This is column 5 of triangle A290053.
Sequence in context: A267391 A229632 A223426 * A115170 A247406 A229588
Adjacent sequences: A290124 A290125 A290126 * A290128 A290129 A290130
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KEYWORD
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nonn,easy
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AUTHOR
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Gregory Gerard Wojnar, Jul 20 2017
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STATUS
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approved
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