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 A106734 a(n) = n^3 - 7*n + 7. 4
 1, 1, 13, 43, 97, 181, 301, 463, 673, 937, 1261, 1651, 2113, 2653, 3277, 3991, 4801, 5713, 6733, 7867, 9121, 10501, 12013, 13663, 15457, 17401, 19501, 21763, 24193, 26797, 29581, 32551, 35713, 39073, 42637, 46411, 50401, 54613, 59053, 63727 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA n*a(n) + n*(n-1)*7 = n^4. G.f.: (1 - 3*x + 15*x^2 - 7*x^3)/(1-x)^4. - Harvey P. Dale, Feb 18 2018 E.g.f.: (7 - 6*x + 3*x^2 + x^3)*exp(x) - 7. - G. C. Greubel, Sep 11 2021 EXAMPLE a(2) = 1, 1 + 15 = 2^4; a(3) = 13, 13 + 27 + 41 = 3^4; a(4) = 43, 43 + 57 + 71 + 85 = 4^4. MATHEMATICA Table[n^3-7n+7, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 1, 13, 43}, 40] (* Harvey P. Dale, Feb 18 2018 *) PROG (PARI) a(n) = n^3 - 7*n + 7; \\ Michel Marcus, Sep 05 2013 (Sage) [n*(n^2 -7) +7 for n in (0..40)] # G. C. Greubel, Sep 11 2021 CROSSREFS Cf. A105551. Sequence in context: A031382 A187677 A082040 * A066465 A023262 A067260 Adjacent sequences: A106731 A106732 A106733 * A106735 A106736 A106737 KEYWORD nonn,easy AUTHOR Andras Erszegi (erszegi.andras(AT)chello.hu), May 14 2005 EXTENSIONS Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jun 16 2007 STATUS approved

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Last modified September 10 18:51 EDT 2024. Contains 375794 sequences. (Running on oeis4.)