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

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

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

Programs

Magma

[(12*n+1)^11: n in [0..12]]; // Vincenzo Librandi, Jul 29 2015

Maple

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

PARI

vector(20, n, n--; (12*n+1)^11) \\ Michel Marcus, Jul 28 2015

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