A017482 a(n) = (11*n + 7)^10.

282475249, 3570467226624, 420707233300201, 10485760000000000, 119042423827613001, 839299365868340224, 4297625829703557649, 17490122876598091776, 59873693923837890625, 179084769654285362176, 480682838924478847449, 1180591620717411303424, 2692452204196940400601

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), this sequence (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..20], n-> (11*n+7)^10); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7)^10: n in [0..10]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+7)^10, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[21] -4)^10 (* G. C. Greubel, Sep 19 2019 *)
LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{282475249,3570467226624,420707233300201,10485760000000000,119042423827613001,839299365868340224,4297625829703557649,17490122876598091776,59873693923837890625,179084769654285362176,480682838924478847449},30] (* Harvey P. Dale, Apr 21 2020 *)

PARI

vector(20, n, (11*n-4)^10) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+7)^10 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

From G. C. Greubel, Sep 19 2019: (Start)

G.f.: (282475249 [phone]*x [phone]*x^2 +6054309522746024* x^3 +26248927783563266*x^4 +38310933951284930*x^5 +19699677304461320*x^6 +3287461918700048*x^7 [phone]*x^8 [phone]*x^9 +1048576* x^10)/(1-x)^11.

E.g.f.: (282475249 [phone]*x [phone]*x^2 + 1539058236550670*x^3 +3317056068374290*x^4 +2872963553757759*x^5 +1172277747064347*x^6 [phone] x^7 [phone]*x^8 [phone]*x^9 [phone]*x^10)*exp(x). (End)