This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A191593 Number of partitions of 12*n into parts < 5. 1
 1, 34, 169, 478, 1033, 1906, 3169, 4894, 7153, 10018, 13561, 17854, 22969, 28978, 35953, 43966, 53089, 63394, 74953, 87838, 102121, 117874, 135169, 154078, 174673, 197026, 221209, 247294, 275353, 305458, 337681 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of ways of placing of 12*n indistinguishable objects into indistinguishable boxes with condition that in each box can be at most 4 objects. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = 12*n^3 + 15*n^2 + 6*n + 1. From R. J. Mathar, Jun 08 2011: (Start) a(n) = A001400(12n) = A014126(6n). G.f.: (1 + 30*x + 39*x^2 + 2*x^3) / (x-1)^4. (End) EXAMPLE a(1)=34 all partitions of 1*12=12 into parts < 5 are: [1,1,1,1,1,1,1,1,1,1,1,1], [1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,3], [1,1,1,1,1,1,1,1,2,2], [1,1,1,1,1,1,1,1,4], [1,1,1,1,1,1,1,2,3], [1,1,1,1,1,1,2,2,2], [1,1,1,1,1,1,2,4], [1,1,1,1,1,1,3,3], [1,1,1,1,1,2,2,3], [1,1,1,1,2,2,2,2], [1,1,1,1,1,3,4], [1,1,1,1,2,2,4], [1,1,1,1,2,3,3], [1,1,1,2,2,2,3], [1,1,2,2,2,2,2], [1,1,1,1,4,4], [1,1,1,2,3,4], [1,1,1,3,3,3], [1,1,2,2,2,4], [1,1,2,2,3,3], [1,2,2,2,2,3], [2,2,2,2,2,2], [1,1,2,4,4], [1,1,3,3,4], [1,2,2,3,4], [1,2,3,3,3], [2,2,2,2,4], [2,2,2,3,3], [1,3,4,4], [2,2,4,4], [2,3,3,4], [3,3,3,3], [4,4,4]. MATHEMATICA Table[12n^3 + 15n^2 + 6n + 1, {n, 0, 30}] PROG (MAGMA) [12*n^3+15*n^2+6*n+1: n in [0..30]]; // Vincenzo Librandi, Jun 16 2011 CROSSREFS Sequence in context: A190607 A256395 A182585 * A259944 A063652 A259886 Adjacent sequences:  A191590 A191591 A191592 * A191594 A191595 A191596 KEYWORD nonn,easy AUTHOR Adi Dani, Jun 07 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.

Last modified October 18 15:21 EDT 2019. Contains 328162 sequences. (Running on oeis4.)