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A131472 a(n) = n^6 + n. 4
0, 2, 66, 732, 4100, 15630, 46662, 117656, 262152, 531450, 1000010, 1771572, 2985996, 4826822, 7529550, 11390640, 16777232, 24137586, 34012242, 47045900, 64000020, 85766142, 113379926, 148035912, 191103000, 244140650, 308915802 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

G.f.: 2*x*(1 + 26*x + 156*x^2 + 146*x^3 + 31*x^4)/(1-x)^7. - R. J. Mathar, Nov 14 2007

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); a(0)=0, a(1)=2, a(2)=66, a(3)=732, a(4)=4100, a(5)=15630, a(6)=46662. - Harvey P. Dale, May 03 2012

MATHEMATICA

Table[n^6+n, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, May 12 2011 *)

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 2, 66, 732, 4100, 15630, 46662}, 60] (* Harvey P. Dale, May 03 2012 *)

PROG

(MAGMA)[n^6+n: n in [0..30]]; // _Vincenzo Librandi+, Oct 01 2011

CROSSREFS

Cf. A002378, A007531, A034262, A091940, A058895, A059826.

Sequence in context: A257788 A226409 A226338 * A098532 A159716 A157060

Adjacent sequences:  A131469 A131470 A131471 * A131473 A131474 A131475

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian, Jul 27 2007

STATUS

approved

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Last modified February 22 04:27 EST 2020. Contains 332115 sequences. (Running on oeis4.)