OFFSET
0,2
COMMENTS
Conjecture: satisfies a linear recurrence having signature (25, -234, 1222, -4147, 9867, -17160, 22308, -21879, 16159, -8866, 3510, -949, 157, -12). - Harvey P. Dale, Jan 27 2019
The conjecture above is correct. From the general formula for {a(n)} we can see that the roots for the characteristic polynomial are one 12 and thirteen 1's, so the characteristic polynomial is (x - 12)*(x - 1)^13 = x^14 - 25*x^13 + 234*x^12 - ... + 12, with corresponding recurrence coefficients 25, -234, ..., -12. - Jianing Song, Jan 28 2019
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (25,-234,1222,-4147,9867,-17160,22308,-21879,16159,-8866,3510,-949,157,-12).
MATHEMATICA
Table[12^n-n^12, {n, 0, 30}] (* Harvey P. Dale, Jan 27 2019 *)
PROG
(Magma) [12^n-n^12: n in [0..20]]; // Vincenzo Librandi, Jun 30 2011
CROSSREFS
KEYWORD
sign,easy
AUTHOR
STATUS
approved