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A017508
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a(n) = (11*n + 9)^12.
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12
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282429536481, 4096000000000000, 787662783788549761, 30129469486639681536, 491258904256726154641, 4722366482869645213696, 31676352024078369140625, 163674647745587512938496, 693842360995438000295041, 2518170116818978404827136
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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.: (282429536481 +4092328416025747*x +734436813292395279*x^2 + 20209260522541101077*x^3 +159842244003035759946*x^4 + 463756067839761680478*x^5 +544661828676570185790*x^6 +
262487410539784705770*x^7 +48674358916489218693*x^8 + 2906273242026287199*x^9 +36217472329783811*x^10 +23298085069233*x^11 + 4096*x^12)/(1-x)^13.
E.g.f.: (282429536481 + 4095717570463519*x + 389735533109043121*x^2 + 4629794808807415962*x^3 +15643775803972010981*x^4 +21329254236100801848* x^5 +14055885648635908792*x^6 +4951158185239377540*x^7 + 983467446953859582*x^8 +112116203770421565*x^9 +7184433177655591*x^10 + 237949933289574*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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(Maxima) makelist((11*n+9)^12, n, 0, 30); /* Martin Ettl, Oct 21 2012 */
(Magma) [(11*n+9)^12: n in [0..20]]; // G. C. Greubel, Oct 29 2019
(Sage) [(11*n+9)^12 for n in (0..20)] # G. C. Greubel, Oct 29 2019
(GAP) List([0..20], n-> (11*n+9)^12); # G. C. Greubel, Oct 29 2019
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CROSSREFS
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Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), A017499 (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), A017503 (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), A017607 (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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