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A017471
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a(n) = (11*n + 6)^11.
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12
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362797056, 34271896307633, 8293509467471872, 317475837322472439, 4882812500000000000, 43513917611435838661, 269561249468963094528, 1287831418538085836267, 5062982072492057196544, 17103393581163134765625
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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 (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
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FORMULA
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G.f.: (362797056 +34267542742961*x +7882270656385972*x^2 + 220215589053761433*x^3 +1612934439380337744*x^4 +4065965093212217778*x^5 +3893323100536505064*x^6 +1409984186533172778*x^7 +173024396961630192* x^8 +5347957556678781*x^9 +17591600106916*x^10 +48828125 x^11)/(1-x)^12.
E.g.f.: (362797056 +34271533510577*x +4112483018826831*x^2 + 48783020707697111*x^3 +152605546678854500*x^4 +184932081242538212*x^5 + 104853627173466171*x^6 +30701237124182097*x^7 +4849119426541500*x^8 + 411237867048855*x^9 +17404011907271*x^10 +285311670611*x^11)*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)^11 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+6)^11); # 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), this sequence (m=11), A017472 (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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