A119635 a(n) = n*(1 + n^2)*2^n.

4, 40, 240, 1088, 4160, 14208, 44800, 133120, 377856, 1034240, 2748416, 7127040, 18104320, 45187072, 111083520, 269484032, 646184960, 1533542400, 3606052864, 8409579520, 19465764864, 44753223680, 102257131520, 232330887168

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (8,-24,32,-16).

Formula

G.f.: 4*x*(1 + 2*x + 4*x^2)/(1 - 2*x)^4. - Vincenzo Librandi, Feb 22 2013

E.g.f.: 4*x*(1 + 3*x + 2*x^2)*exp(2*x). - G. C. Greubel, Mar 04 2019

Maple

[(n^3+n)*2^n$n=1..30]; # Muniru A Asiru, Mar 04 2019

Mathematica

Table[(n^3 + n)*2^n, {n, 30}] (* or *) CoefficientList[Series[4(1 +2x + 4x^2)/(1-2x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Feb 22 2013 *)

Prog

(Magma) [(n^3 + n)*2^n: n in [1..30]]; // Vincenzo Librandi, Feb 22 2013
(GAP) List([1..30], n->n*(n^2+1)*2^n); # Muniru A Asiru, Mar 04 2019
(PARI) {a(n) = n*(1+n^2)*2^n}; \\ G. C. Greubel, Mar 04 2019
(Sage) [n*(1+n^2)*2^n for n in (1..30)] # G. C. Greubel, Mar 04 2019

Crossrefs

Cf. A128796, A128960, A128985, A129002.

Sequence in context: A229088 A270088 A115286 * A367557 A283660 A215701

Adjacent sequences: A119632 A119633 A119634 * A119636 A119637 A119638

Keyword

nonn,easy

Author

Mohammad K. Azarian, May 02 2007

Status

approved