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A088892
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Polynexus numbers of order 14.
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6
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0, 1, 291, 16096, 356232, 4411517, 36621423, 227095448, 1128128568, 4708376529, 17078744419, 55199550120, 161993768080, 438011626365, 1103841220991, 2616890599056, 5880356075792
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OFFSET
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1,3
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LINKS
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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 (14,-91,364,-1001,2002,-3003,3432,-3003,2002,-1001,364,-91,14,-1).
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FORMULA
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a(n) = ((n^14-(n-1)^14)-(n^2-(n-1)^2))/16380 = ((n^14-(n-1)^14)-(n^2-(n-1)^2))/(2^14-2^2).
G.f.: x^2*(1+x)*(1+276*x+11837*x^2+145168*x^3+638914*x^4+1068728*x^5+638914*x^6+145168*x^7+11837*x^8+276*x^9+x^10)/(1-x)^14. - Bruno Berselli, Feb 08 2012
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MATHEMATICA
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Table[((n^14 - (n - 1)^14) - (n^2 - (n - 1)^2))/16380, {n, 20}] (* Bruno Berselli, Feb 08 2012 *)
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CROSSREFS
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Cf. A079547, A083200, A088889, A088890, A088891, A088893, A088894.
Sequence in context: A123913 A031695 A158254 * A098248 A185999 A048956
Adjacent sequences: A088889 A088890 A088891 * A088893 A088894 A088895
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KEYWORD
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nonn,easy
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AUTHOR
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Xavier Acloque, Oct 21 2003
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EXTENSIONS
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First term added according to the formula from Bruno Berselli, Feb 08 2012
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STATUS
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approved
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