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A017466
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a(n) = (11*n + 6)^6.
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12
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46656, 24137569, 481890304, 3518743761, 15625000000, 51520374361, 139314069504, 326940373369, 689869781056, 1340095640625, 2436396322816, 4195872914689, 6906762437184, 10942526586601, 16777216000000, 25002110044521, 36343632130624, 51682540549249, 72074394832896
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OFFSET
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0,1
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LINKS
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FORMULA
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a(0) = 46656, a(1) = 24137569, a(2) = 481890304, a(3) = 3518743761, a(4) = 15625000000, a(5) = 51520374361, a(6) = 139314069504, a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - Harvey P. Dale, Jan 19 2013
G.f.: (46656 +23810977*x +313907097*x^2 +650767622*x^3 +270308102*x^4 +16667841*x^5 +15625*x^6)/(1-x)^7.
E.g.f.: (46656 +24090913*x +216830911*x^2 +357573150*x^3 +181035965*x^4 +32371251*x^5 +1771561*x^6)*exp(x). (End)
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MAPLE
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MATHEMATICA
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(11 * Range[0, 20] + 6)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {46656, 24137569, 481890304, 3518743761, 15625000000, 51520374361, 139314069504}, 20] (* Harvey P. Dale, Jan 19 2013 *)
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PROG
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(Sage) [(11*n+6)^6 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+6)^6); # 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), this sequence (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (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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