A017460 a(n) = (11*n + 5)^12.

244140625, 281474976710656, 150094635296999121, 9065737908494995456, 191581231380566414401, 2176782336000000000000, 16409682740640811134241, 92420056270299898187776, 418596297479370673535601, 1601032218567680790102016

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 (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Crossrefs

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), A017459 (m=11), this sequence (m=12).

Programs

GAP

List([0..20], n-> (11*n+5)^12); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+5)^12: n in [0..10]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+5)^12, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[21] -6)^12 (* G. C. Greubel, Sep 19 2019 *)

PARI

vector(20, n, (11*n-6)^12) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+5)^12 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (244140625 [phone]*x +146435479642729343*x^2 + 7136462627993219301*x^3 +85353518454518704170*x^4 +350628073514443644414 *x^5 +569002784856695826846*x^6 +380284494715132979466*x^7 + 101126771751016700469*x^8 +9408164121360836975*x^9 +224644345794247731* x^10 [phone]*x^11 [phone]*x^12)/(1-x)^13.

E.g.f.: (244140625 [phone]*x +74765842793859217*x^2 + 1436049737881664906*x^3 +6509071735779405221*x^4 +10900283493364894200* x^5 +8393947455360064312*x^6 +3347919415332356436*x^7 + 736963256712968142*x^8 +91671288202929325*x^9 +6335345645917255*x^10 + 224254973100246*x^11 [phone]*x^12)*exp(x). (End)