|
| |
|
|
A088890
|
|
Polynexus numbers of order 8.
|
|
6
| |
|
|
0, 1, 25, 234, 1290, 5115, 16211, 43700, 104244, 226005, 453805, 855646, 1530750, 2619279, 4313895, 6873320, 10638056, 16048425, 23665089, 34192210, 48503410, 67670691, 92996475, 126048924, 168700700, 223171325
(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, signature (8,-28,56,-70,56,-28,8,-1).
|
|
|
FORMULA
| a(n) = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/252 = ((n^8-(n-1)^8)-(n^2-(n-1)^2))/(2^8-2^2).
G.f.: x^2*(1+x)*(1+16*x+46*x^2+16*x^3+x^4)/(1-x)^8. - Bruno Berselli, Feb 10 2012
|
|
|
MATHEMATICA
| Table[((n^8 - (n - 1)^8) - (n^2 - (n - 1)^2))/252, {n, 26}] (* Bruno Berselli, Feb 10 2012 *)
|
|
|
CROSSREFS
| Cf. A079547, A083200, A088889, A088891, A088892, A088893, A088894.
Sequence in context: A053927 A081195 A160222 * A108178 A107943 A125388
Adjacent sequences: A088887 A088888 A088889 * A088891 A088892 A088893
|
|
|
KEYWORD
| nonn,easy,changed
|
|
|
AUTHOR
| Xavier Acloque, Oct 21 2003
|
|
|
EXTENSIONS
| First term added according to the formula from Bruno Berselli, Feb 10 2012
|
| |
|
|
