A017543 a(n) = (12*n + 1)^11.

1, 1792160394037, 2384185791015625, 177917621779460413, 3909821048582988049, 43513917611435838661, 313726685568359708377, 1673432436896142578125, 7153014030880804126753, 25804264053054077850709, 81402749386839761113321, 230339304218442143770717, 595728015903604931640625

Offset

0,2

Links

Matthew House, 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).

Formula

a(n) = A008455(A017533(n)). - Michel Marcus, Jul 28 2015

a(n) = Sum_{k=0..11} binomial(11,k)*(12*n)^k. - Robert Israel, Jul 28 2015

Maple

seq((12*n+1)^11, n=0..100); # Robert Israel, Jul 28 2015

Mathematica

(12*Range[0, 15] + 1)^11 (* Paolo Xausa, Dec 18 2025 *)

Prog

(PARI) vector(20, n, n--; (12*n+1)^11) \\ Michel Marcus, Jul 28 2015
(Magma) [(12*n+1)^11: n in [0..12]]; // Vincenzo Librandi, Jul 29 2015

Crossrefs

Cf. A008455 (n^11), A017533 (12n+1).

Sequence in context: A015422 A289148 A282182 * A333977 A396360 A233609

Adjacent sequences: A017540 A017541 A017542 * A017544 A017545 A017546

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved