The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A153449 11 times pentagonal numbers: 11*n*(3n-1)/2. 3
 0, 11, 55, 132, 242, 385, 561, 770, 1012, 1287, 1595, 1936, 2310, 2717, 3157, 3630, 4136, 4675, 5247, 5852, 6490, 7161, 7865, 8602, 9372, 10175, 11011, 11880, 12782, 13717, 14685, 15686, 16720, 17787, 18887, 20020, 21186, 22385 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Ivan Panchenko, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = (33*n^2 - 11*n)/2 = A000326(n)*11. a(n) = 33*n + a(n-1) - 22 (with a(0)=0). - Vincenzo Librandi, Aug 03 2010 G.f.: 11*x*(1+2*x)/(1-x)^3. - Colin Barker, Feb 21 2012 From G. C. Greubel, Aug 21 2016: (Start) a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). E.g.f.: (11/2)*x*(2 + 3*x)*exp(x). (End) MATHEMATICA Table[11*n*(3n-1)/2, {n, 0, 25}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 11, 55}, 25] (* G. C. Greubel, Aug 21 2016 *) PROG (PARI) a(n)=11*n*(3*n-1)/2 \\ Charles R Greathouse IV, Jun 17 2017 CROSSREFS Cf. A000326. Sequence in context: A050900 A246406 A255415 * A047649 A010927 A009550 Adjacent sequences: A153446 A153447 A153448 * A153450 A153451 A153452 KEYWORD easy,nonn AUTHOR Omar E. Pol, Dec 26 2008 STATUS approved

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

Last modified September 16 04:06 EDT 2024. Contains 375959 sequences. (Running on oeis4.)