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A241848 a(n) = n^2 + 18. 2
18, 19, 22, 27, 34, 43, 54, 67, 82, 99, 118, 139, 162, 187, 214, 243, 274, 307, 342, 379, 418, 459, 502, 547, 594, 643, 694, 747, 802, 859, 918, 979, 1042, 1107, 1174, 1243, 1314, 1387, 1462, 1539, 1618, 1699, 1782, 1867, 1954, 2043, 2134, 2227, 2322 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

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

FORMULA

G.f.: (18 - 35*x + 19*x^2)/(1 - x)^3.

a(n) = a(-n) = 3*a(n-1) - 3*a(n-2) + a(n-3) = a(n-1) + 2*n - 1.

MATHEMATICA

Table[n^2 + 18, {n, 0, 60}]

PROG

(MAGMA) [n^2+18: n in [0..60]];

(PARI) a(n)=n^2+18 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. similar sequences listed in A114962.

Sequence in context: A025144 A326540 A241267 * A146331 A308894 A031956

Adjacent sequences:  A241845 A241846 A241847 * A241849 A241850 A241851

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, May 01 2014

STATUS

approved

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Last modified July 23 19:33 EDT 2019. Contains 325263 sequences. (Running on oeis4.)