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0, 2304, 290304, 6386688, 65235456, 424030464, 2038772736, 7894388736, 25960393728, 75123949824, 196144058880, 470584857600, 1051840857600, 2213790808320, 4424337967104, 8453141250048, 15525242320896, 27535076464896, 47338548401664, 79144486327296
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OFFSET
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1,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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a(n) = (4096*n^10-15360*n^8+16128*n^6-5440*n^4+576*n^2)/525. - Colin Barker, Jun 29 2015
G.f.: -2304*x^2*(x+1)*(x^6+114*x^5+1327*x^4+3260*x^3+1327*x^2+114*x+1) / (x-1)^11. - Colin Barker, Jun 29 2015
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EXAMPLE
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n=3: 290304 = 70*32710 - 1414^2.
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MATHEMATICA
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LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 2304, 290304, 6386688, 65235456, 424030464, 2038772736, 7894388736, 25960393728, 75123949824, 196144058880}, 30] (* Vincenzo Librandi, Jun 29 2015 *)
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PROG
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(PARI) concat(0, Vec(-2304*x^2*(x +1)*(x^6 +114*x^5 +1327*x^4 +3260*x^3 +1327*x^2 +114*x +1) / (x -1)^11 + O(x^100))) \\ Colin Barker, Jun 29 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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