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 A098749 Let f[n_]=((n^4-n^3-1)/ (n^3-n-1))^2; then a(n) = Floor[f[n]]. 0
 1, 1, 1, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226, 257, 290, 325, 362, 401, 442, 485, 530, 577, 626, 677, 730, 785, 842, 901, 962, 1025, 1090, 1157, 1226, 1297, 1370, 1445, 1522, 1601, 1682, 1765, 1850, 1937, 2026, 2117, 2210, 2305, 2402 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA It is easy to show that Floor[((n^4-n^3-1)/ (n^3-n-1))^2] = (n-1)^2 + 1 for n >= 3. So this is essentially the same sequence as A002522. - Juan Jose Alba Gonzalez, Nov 09 2006. MATHEMATICA (* polynomial sequence with Theta1 to Theta0 pattern*) digits=200 f[n_]=((n^4-n^3-1)/ (n^3-n-1))^2 a=Table[Floor[f[n]], {n, 0, digits}] CROSSREFS Cf. A002522. Sequence in context: A229997 A277186 A193053 * A034676 A076598 A306011 Adjacent sequences:  A098746 A098747 A098748 * A098750 A098751 A098752 KEYWORD nonn AUTHOR Roger L. Bagula, Oct 01 2004 STATUS approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)