login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A241751 a(n) = n^2 + 16. 3
16, 17, 20, 25, 32, 41, 52, 65, 80, 97, 116, 137, 160, 185, 212, 241, 272, 305, 340, 377, 416, 457, 500, 545, 592, 641, 692, 745, 800, 857, 916, 977, 1040, 1105, 1172, 1241, 1312, 1385, 1460, 1537, 1616, 1697, 1780, 1865, 1952, 2041, 2132, 2225, 2320 (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.: (16 - 31*x + 17*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 + 16, {n, 0, 60}]

PROG

(MAGMA) [n^2+16: n in [0..60]];

(Haskell)

a241751 = (+ 16) . (^ 2)  -- Reinhard Zumkeller, Apr 11 2015

(PARI) a(n)=n^2+16 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. similar sequences listed in A114962.

Cf. A000290, A243451 (primes).

Sequence in context: A258265 A261344 A007636 * A244431 A151977 A252492

Adjacent sequences:  A241748 A241749 A241750 * A241752 A241753 A241754

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, May 01 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 17 15:28 EDT 2018. Contains 313816 sequences. (Running on oeis4.)