A017267 a(n) = (9*n + 8)^11.

8589934592, 34271896307633, 3670344486987776, 96549157373046875, 1196683881290399744, 9269035929372191597, 52036560683837093888, 231122292121701565271, 858993459200000000000, 2775173073766990340489

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 (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).

Crossrefs

Cf. A008455 (n^11), A017257 (9*n+8).

Programs

Magma

[(9*n+8)^11: n in [0..10]]; // Vincenzo Librandi, Jul 28 2011

Mathematica

(9*Range[0,30]+8)^11 (* or *) LinearRecurrence[ {12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{8589934592,34271896307633,3670344486987776,96549157373046875,1196683881290399744,9269035929372191597,52036560683837093888,231122292121701565271,858993459200000000000,2775173073766990340489,8007313507497959524352,21048519522998348950643},30] (* Harvey P. Dale, Oct 21 2013 *)

Formula

a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12); a(0)=8589934592, a(1)=34271896307633, a(2)=3670344486987776, a(3)=96549157373046875, a(4)=1196683881290399744, a(5)=9269035929372191597, a(6)=52036560683837093888, a(7)=231122292121701565271, a(8)=858993459200000000000, a(9)=2775173073766990340489, a(10)=8007313507497959524352, a(11)=21048519522998348950643. - Harvey P. Dale, Oct 21 2013