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A071289
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If n mod 2 = 0 then n*(n^2+1) else (n-1/2)*(n^2+1).
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0
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0, 1, 10, 25, 68, 117, 222, 325, 520, 697, 1010, 1281, 1740, 2125, 2758, 3277, 4112, 4785, 5850, 6697, 8020, 9061, 10670, 11925, 13848, 15337, 17602, 19345, 21980, 23997, 27030, 29341, 32800, 35425, 39338, 42297, 46692, 50005, 54910, 58597, 64040, 68121, 74130
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,3,-3,-3,3,1,-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 19 2010]
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FORMULA
| a(n)= +a(n-1) +3*a(n-2) -3*a(n-3) -3*a(n-4) +3*a(n-5) +a(n-6) -a(n-7). G.f.: x*(1+9*x+12*x^2+16*x^3+7*x^4+3*x^5) / ( (1+x)^3*(x-1)^4 ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 19 2010]
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CROSSREFS
| Sequence in context: A072277 A063424 A137930 * A156183 A124870 A078257
Adjacent sequences: A071286 A071287 A071288 * A071290 A071291 A071292
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 12 2002
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