A122562 a(n) = n^3 + 114 * n.

115, 236, 369, 520, 695, 900, 1141, 1424, 1755, 2140, 2585, 3096, 3679, 4340, 5085, 5920, 6851, 7884, 9025, 10280, 11655, 13156, 14789, 16560, 18475, 20540, 22761, 25144, 27695, 30420, 33325, 36416, 39699, 43180, 46865, 50760, 54871, 59204

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..2500

Paul Cooijmans, Odds.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(1)=115, a(2)=236, a(3)=369, a(4)=520, a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) - a(n-4). - Harvey P. Dale, Mar 14 2015

From G. C. Greubel, Oct 29 2024: (Start)

G.f.: x*(115 - 224*x + 115*x^2)/(1 - x)^4.

E.g.f.: x*(115 + 3*x + x^2)*exp(x). (End)

Mathematica

Table[n^3+114n, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {115, 236, 369, 520}, 40] (* Harvey P. Dale, Mar 14 2015 *)

Prog

(PARI) for(n=1, 50, print1(n^3+114*n, ", "))
(Magma) [n*(n^2+114): n in [1..40]]; // G. C. Greubel, Oct 29 2024
(SageMath) [n*(n^2+114) for n in range(1, 41)] # G. C. Greubel, Oct 29 2024

Crossrefs

Sequence in context: A181931 A229324 A277806 * A063361 A340098 A208815

Adjacent sequences: A122559 A122560 A122561 * A122563 A122564 A122565

Keyword

nonn,easy

Author

Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 20 2006

Status

approved