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A017472
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a(n) = (11*n + 6)^12.
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12
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2176782336, 582622237229761, 232218265089212416, 12381557655576425121, 244140625000000000000, 2654348974297586158321, 19408409961765342806016, 106890007738661124410161, 475920314814253376475136, 1795856326022129150390625
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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.: (2176782336 +582593939059393*x +224644345794247731*x^2 + 9408164121360836975*x^3 +101126771751016700469*x^4 + 380284494715132979466*x^5 +569002784856695826846*x^6 + 350628073514443644414*x^7 +85353518454518704170*x^8 + 7136462627993219301*x^9 +146435479642729343*x^10 +281471802882531*x^11 +244140625*x^12)/(1-x)^13.
E.g.f.: (2176782336 +582620060447425*x +115526511395767615*x^2 + 1947775120807282470*x^3 +8166890561727393221*x^4 + 12959517969262230432 *x^5 +9583714050157484644*x^6 +3701592580215241932*x^7 + 793530834460904067*x^8 +96520289732086275*x^9 +6542481918780841*x^10 + 227678713147578*x^11 +3138428376721*x^12)*exp(x). (End)
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MAPLE
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MATHEMATICA
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PROG
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(Sage) [(11*n+6)^12 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+6)^12); # G. C. Greubel, Sep 19 2019
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CROSSREFS
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Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), this sequence (m=12).
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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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