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A024219
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[ (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+1 positive integers congruent to 1 mod 3}.
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0
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0, 3, 7, 12, 19, 28, 38, 49, 62, 77, 93, 110, 129, 150, 172, 195, 220, 247, 275, 304, 335, 368, 402, 437, 474, 513, 553, 594, 637, 682, 728, 775, 824, 875, 927, 980, 1035, 1092, 1150, 1209, 1270, 1333, 1397, 1462, 1529, 1598, 1668, 1739, 1812, 1887, 1963, 2040
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Conjecture: a(n)= +3*a(n-1) -4*a(n-2) +4*a(n-3) -3*a(n-4) +a(n-5). G.f. x^2*(-3+2*x-3*x^2+x^3) / ( (x^2+1)*(x-1)^3 ). - R. J. Mathar, Oct 08 2011
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CROSSREFS
| Sequence in context: A194147 A077043 A022330 * A025713 A022791 A025742
Adjacent sequences: A024216 A024217 A024218 * A024220 A024221 A024222
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KEYWORD
| nonn,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 20 2006
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