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A088889
Polynexus numbers of order 8.
8
0, 1, 26, 245, 1353, 5368, 17017, 45878, 109446, 237291, 476476, 898403, 1607255, 2750202, 4529539, 7216924, 11169884, 16850757, 24848238, 35901697, 50928437, 71054060, 97646109, 132351154, 177135490, 234329615
OFFSET
1,3
LINKS
X. Acloque, Polynexus Numbers and other mathematical wonders [dead link, domain owned by a domain grabber].
FORMULA
a(n) = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/240 = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/(2^8-2^4).
G.f.: x^2*(1+x)*(1+17*x+48*x^2+17*x^3+x^4)/(1-x)^8. - Bruno Berselli, Feb 10 2012
MATHEMATICA
Table[((n^8 - (n - 1)^8) - (n^4 - (n - 1)^4))/240, {n, 26}] (* Bruno Berselli, Feb 10 2012 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 26, 245, 1353, 5368, 17017, 45878}, 30] (* Harvey P. Dale, Oct 31 2024 *)
KEYWORD
nonn,easy
AUTHOR
Xavier Acloque, Oct 21 2003
EXTENSIONS
First term added according to the formula from Bruno Berselli, Feb 10 2012
STATUS
approved