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A088889
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Polynexus numbers of order 8.
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6
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Bruno Berselli, Table of n, a(n) for n = 1..1000
X. Acloque, Polynexus Numbers and other mathematical wonders [dead link, domain owned by a domain grabber].
Index to sequences with linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
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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
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MATHEMATICA
| Table[((n^8 - (n - 1)^8) - (n^4 - (n - 1)^4))/240, {n, 26}] (* Bruno Berselli, Feb 10 2012 *)
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CROSSREFS
| Cf. A079547, A083200, A088890, A088891, A088892, A088893, A088894.
Sequence in context: A163726 A020537 A184461 * A060105 A108645 A086023
Adjacent sequences: A088886 A088887 A088888 * A088890 A088891 A088892
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Xavier Acloque, Oct 21 2003
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EXTENSIONS
| First term added according to the formula from Bruno Berselli, Feb 10 2012
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