|
| |
|
|
A061223
|
|
Numbers of the form n^3 + (n + 1)^4 + (n + 2)^5.
|
|
1
| |
|
|
33, 260, 1113, 3408, 8465, 18228, 35385, 63488, 107073, 171780, 264473, 393360, 568113, 799988, 1101945, 1488768, 1977185, 2585988, 3336153, 4250960, 5356113, 6679860, 8253113, 10109568, 12285825, 14821508, 17759385, 21145488, 25029233
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
|
|
|
FORMULA
| Contribution by Bruno Berselli, Aug 05 2011: (Start)
G.f.: (33+62*x+48*x^2-30*x^3+7*x^4)/(1-x)^6.
a(n) = (n+1)*(n^4+10*n^3+35*n^2+51*n+33).
a(n) = 6*a(n-1) -15*a(n-2) +20*a(n-3) -15*a(n-4) +6*a(n-5) -a(n-6). (End)
|
|
|
EXAMPLE
| a(1) = 1 + 2^4 + 3^5 = 1 + 16 + 243 = 260.
|
|
|
PROG
| (MAGMA) [n^3 + (n + 1)^4 + (n + 2)^5: n in [0..30]]; // Vincenzo Librandi, Aug 05 2011
|
|
|
CROSSREFS
| Sequence in context: A184059 A197347 A197398 * A119782 A008515 A179995
Adjacent sequences: A061220 A061221 A061222 * A061224 A061225 A061226
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com), May 31 2001
|
|
|
EXTENSIONS
| Offset changed from 1 to 0 by Vincenzo Librandi, Aug 05 2011
|
| |
|
|
