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A084382

a(n) = n^3 + 6.

6, 7, 14, 33, 70, 131, 222, 349, 518, 735, 1006, 1337, 1734, 2203, 2750, 3381, 4102, 4919, 5838, 6865, 8006, 9267, 10654, 12173, 13830, 15631, 17582, 19689, 21958, 24395, 27006, 29797, 32774, 35943, 39310, 42881, 46662, 50659, 54878, 59325, 64006, 68927, 74094

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Cino Hilliard, Proof that a cube plus 7 cannot be a square.

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

FORMULA

a(0)=6, a(1)=7, a(2)=14, a(3)=33; for n >= 4, a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Harvey P. Dale, Aug 08 2013

G.f.: (6 - 17*x + 22*x^2 - 5*x^3)/(1 - x)^4. - Vincenzo Librandi, Jun 10 2016

E.g.f.: (6 + x + 3*x^2 + x^3)*exp(x). - Elmo R. Oliveira, Apr 20 2025

MATHEMATICA