A027382 a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.

1, 4, 9, 16, 49, 156, 409, 904, 1761, 3124, 5161, 8064, 12049, 17356, 24249, 33016, 43969, 57444, 73801, 93424, 116721, 144124, 176089, 213096, 255649, 304276, 359529, 421984, 492241, 570924, 658681

Offset

0,2

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

G.f.: ( -1+x+x^2-x^3-24*x^4 ) / (x-1)^5. - R. J. Mathar, Jun 09 2016

Mathematica

Table[n^4 - 6n^3 + 12n^2 - 4n + 1, {n, 0, 39}] (* Alonso del Arte, Dec 28 2016 *)
LinearRecurrence[{5, -10, 10, -5, 1}, {1, 4, 9, 16, 49}, 40] (* Harvey P. Dale, Mar 12 2018 *)

Crossrefs

Sequence in context: A029784 A112735 A059931 * A164840 A023110 A277699

Adjacent sequences: A027379 A027380 A027381 * A027383 A027384 A027385

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved