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A088894
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Polynexus numbers of order 16.
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6
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0, 1, 656, 64895, 2263323, 40728358, 464160877, 3788798018, 23985732786, 124343403711, 548683300726, 2120490369833, 7334132330405, 23085114905772, 67009386720139, 181293280189204, 461148470725844
(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 [broken link]
Index to sequences with linear recurrences with constant coefficients, order 16.
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FORMULA
| a(n) = ((n^16-(n-1)^16)-(n^4-(n-1)^4))/65520 = ((n^16-(n-1)^16)-(n^4-(n-1)^4))/(2^16-2^4).
G.f.: x^2*(1+x)*(1+639*x+53880*x^2+1249283*x^3+10687767*x^4+38266494*x^5+59151072*x^6+38266494*x^7+10687767*x^8+1249283*x^9+53880*x^10+639*x^11+x^12)/(1-x)^16. - Bruno Berselli, Feb 08 2012
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MATHEMATICA
| Table[((n^16 - (n - 1)^16) - (n^4 - (n - 1)^4))/65520, {n, 20}] (* Bruno Berselli, Feb 08 2012 *)
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CROSSREFS
| Cf. A079547, A083200, A088889, A088890, A088891, A088892, A088893.
Sequence in context: A060520 A065759 A194653 * A015277 A135418 A034818
Adjacent sequences: A088891 A088892 A088893 * A088895 A088896 A088897
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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 08 2012
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