|
| |
|
|
A088893
|
|
Polynexus numbers of order 15.
|
|
6
| |
|
|
0, 1, 437, 32338, 898774, 13420861, 130567049, 929084572, 5210829060, 24240197433, 96985597357, 342789175982, 1092151142842, 3186269918917, 8618003504977, 21826239750488, 52182586901800
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
LINKS
| Bruno Berselli, Table of n, a(n) for n = 1..1000
X. Acloque, Polynexus Numbers and other mathematical wonders [broken link]
Index to sequences with linear recurrences with constant coefficients, order 15.
|
|
|
FORMULA
| a(n) = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/32760 = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/(2^15-2^3).
G.f.: x^2*(1+422*x+25888*x^2+459134*x^3+3137271*x^4+9505116*x^5+13661136*x^6+9505116*x^7+3137271*x^8+459134*x^9+25888*x^10+422*x^11+x^12)/(1-x)^15. - Bruno Berselli, Feb 08 2012
|
|
|
MATHEMATICA
| Table[((n^15 - (n - 1)^15) - (n^3 - (n - 1)^3))/32760, {n, 20}] (* Bruno Berselli, Feb 08 2012 *)
|
|
|
CROSSREFS
| Cf. A079547, A083200, A088889, A088890, A088891, A088892, A088894.
Sequence in context: A124043 A190828 A084293 * A043447 A006911 A204380
Adjacent sequences: A088890 A088891 A088892 * A088894 A088895 A088896
|
|
|
KEYWORD
| nonn,easy,changed
|
|
|
AUTHOR
| Xavier Acloque, Oct 21 2003
|
|
|
EXTENSIONS
| First term added according to the formula from Bruno Berselli, Feb 08 2012
|
| |
|
|
