A195323 a(n) = 22*n^2.

0, 22, 88, 198, 352, 550, 792, 1078, 1408, 1782, 2200, 2662, 3168, 3718, 4312, 4950, 5632, 6358, 7128, 7942, 8800, 9702, 10648, 11638, 12672, 13750, 14872, 16038, 17248, 18502, 19800, 21142, 22528, 23958, 25432, 26950, 28512, 30118, 31768, 33462, 35200, 36982, 38808

Offset

0,2

Comments

Sequence found by reading the line from 0, in the direction 0, 22, ..., in the square spiral whose vertices are the generalized tridecagonal numbers A195313. Semi-axis opposite to A195318 in the same spiral.

Surface area of a rectangular prism with dimensions n, 2n and 3n. - Wesley Ivan Hurt, Apr 10 2015

Links

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

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = 22*A000290(n) = 11*A001105(n) = 2*A033584(n).

a(n) = 3*a(n-1)-3*a(n-2)+a(n-3). [Harvey P. Dale, Sep 19 2011]

G.f.: 22*x*(1+x)/(1-x)^3. - Wesley Ivan Hurt, Apr 10 2015

Maple

A195323:=n->22*n^2: seq(A195323(n), n=0..80); # Wesley Ivan Hurt, Apr 10 2015

Mathematica

22Range[0, 50]^2 (* or *) LinearRecurrence[{3, -3, 1}, {0, 22, 88}, 50] (* Harvey P. Dale, Sep 19 2011 *)

Prog

(Magma) [22*n^2 : n in [0..40]]; // Vincenzo Librandi, Sep 20 2011
(PARI) vector(50, n, 22*(n-1)^2) \\ Derek Orr, Apr 10 2015

Crossrefs

Bisection of A195149.

Cf. A016802, A033581, A033583, A135453, A139098, A144555, A195321, A195322.

Sequence in context: A125243 A298443 A197720 * A041940 A041942 A231265

Adjacent sequences: A195320 A195321 A195322 * A195324 A195325 A195326

Keyword

nonn,easy

Author

Omar E. Pol, Sep 16 2011

Status

approved