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A017459
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a(n) = (11*n + 5)^11.
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12
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48828125, 17592186044416, 5559060566555523, 238572050223552512, 3909821048582988049, 36279705600000000000, 231122292121701565271, 1127073856954876807168, 4501035456767426597157, 15394540563150776827904
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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.: (48828125 +17591600106916*x +5347957556678781*x^2 + 173024396961630192*x^3 +1409984186533172778*x^4 +3893323100536505064*x^5 +4065965093212217778*x^6 +1612934439380337744*x^7 +220215589053761433* x^8 +7882270656385972*x^9 +34267542742961*x^10 +362797056*x^11)/(1-x)^12.
E.g.f.: (48828125 +17592137216291*x +2761938121647408*x^2 + 36991274172198511*x^3 +124534035099698400*x^4 +158840151787803530*x^5 + 93615574446397542*x^6 +28270098736853457*x^7 +4580560974275055*x^8 + 396972283518305*x^9 +17118700236660*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+5)^11 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+5)^11); # G. C. Greubel, Sep 19 2019
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CROSSREFS
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Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), this sequence (m=11), A017460 (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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