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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A179436 a(n) = (3*n+7)*(3*n+2)/2. 1
7, 25, 52, 88, 133, 187, 250, 322, 403, 493, 592, 700, 817, 943, 1078, 1222, 1375, 1537, 1708, 1888, 2077, 2275, 2482, 2698, 2923, 3157, 3400, 3652, 3913, 4183, 4462, 4750, 5047, 5353, 5668, 5992, 6325, 6667, 7018, 7378, 7747 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Trisection of A055998.

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

G.f.: (-7-4*x+2*x^2)/(x-1)^3.

a(n) = a(n-1)+9*(n+1) = (14+27*n+9*n^2)/2.

a(n) = 2*a(n-1)-a(n-2) +9.

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

a(n) mod 9 = A153466(n) mod 9 = 7.

Sum_{n>=0} 1/a(n) = 1/2-2*Pi*sqrt(3)/45 = 0.2581600... - R. J. Mathar, Apr 07 2011

MAPLE

A179436:=n->(3*n+7)*(3*n+2)/2: seq(A179436(n), n=0..100); # Wesley Ivan Hurt, Apr 24 2017

PROG

(MAGMA) [(3*n+7)*(3*n+2)/2: n in [0..50]]; // Vincenzo Librandi, Aug 04 2011

(PARI) a(n)=(3*n+7)*(3*n+2)/2 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A055998, A153466.

Sequence in context: A278874 A137380 A094672 * A254963 A304075 A227776

Adjacent sequences:  A179433 A179434 A179435 * A179437 A179438 A179439

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Jan 12 2011

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 09:41 EDT 2019. Contains 323529 sequences. (Running on oeis4.)