A180356 a(n) = n^6 + 6n.

0, 7, 76, 747, 4120, 15655, 46692, 117691, 262192, 531495, 1000060, 1771627, 2986056, 4826887, 7529620, 11390715, 16777312, 24137671, 34012332, 47045995, 64000120, 85766247, 113380036, 148036027, 191103120, 244140775, 308915932

Offset

0,2

Links

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1). [From R. J. Mathar, Sep 24 2010]

Formula

a(n) = +7*a(n-1) -21*a(n-2) +35*a(n-3) -35*a(n-4) +21*a(n-5) -7*a(n-6) +a(n-7). G.f.: x*(-7-27*x-362*x^2-242*x^3-87*x^4+5*x^5)/(x-1)^7. - R. J. Mathar, Sep 24 2010

Mathematica

Table[n^6+6n, {n, 0, 30}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 7, 76, 747, 4120, 15655, 46692}, 30] (* Harvey P. Dale, Feb 14 2023 *)

Prog

(Magma) [n^6+6*n : n in [0..50]]; // Wesley Ivan Hurt, Jul 07 2025

Crossrefs

Cf. A079908, A132411, A180354, A180355.

Sequence in context: A106162 A285454 A139472 * A114470 A388131 A098497

Adjacent sequences: A180353 A180354 A180355 * A180357 A180358 A180359

Keyword

easy,nonn

Author

Odimar Fabeny, Aug 30 2010

Extensions

First term corrected by Odimar Fabeny, Sep 23 2010

a(0) corrected by R. J. Mathar, Sep 24 2010

Status

approved