A017495 a(n) = (11*n + 8)^11.

8589934592, 116490258898219, 17714700000000000, 550329031716248441, 7516865509350965248, 62050608388552823487, 364375289404334925824, 1673432436896142578125, 6382393305518410039296, 21048519522998348950643, 61759259534823101765632, 164621598066108688876929

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), this sequence (m=11), A017496 (m=12).

Programs

GAP

List([0..20], n-> (11*n+8)^11); # G. C. Greubel, Sep 22 2019

Magma

[(11*n+8)^11: n in [0..20]]; // G. C. Greubel, Sep 22 2019

Maple

seq((11*n+8)^11, n=0..20); # G. C. Greubel, Sep 22 2019

Mathematica

(11*Range[0,20]+8)^11 (* Harvey P. Dale, Dec 18 2011 *)

PARI

vector(20, n, (11*n-3)^11) \\ G. C. Greubel, Sep 22 2019

Sage

[(11*n+8)^11 for n in (0..20)] # G. C. Greubel, Sep 22 2019

Formula

From G. C. Greubel, Sep 22 2019: (Start)

G.f.: (8589934592 [phone]*x +16317383828904444*x^2 + 345439099017920655*x^3 +2056463723815998816*x^4 +4330360244540059158*x^5 +3485249533342266888*x^6 +1049164126934199606*x^7 +103278745612305120* x^8 +2335591020671359*x^9 [phone]*x^10 +177147*x^11)/(1-x)^12.

E.g.f.: (8589934592 [phone]*x +8740864036069077*x^2 + 82922398983834751*x^3 +225890484585013050*x^4 +248275055013875318*x^5 + 130670920341658389*x^6 +36045281196709257*x^7 +5418280840195080*x^8 + 440547156847985*x^9 [phone]*x^10 [phone]*x^11)*exp(x). (End)

Extensions

More terms added by G. C. Greubel, Sep 22 2019