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 A022521 a(n) = (n+1)^5 - n^5. 20
 1, 31, 211, 781, 2101, 4651, 9031, 15961, 26281, 40951, 61051, 87781, 122461, 166531, 221551, 289201, 371281, 469711, 586531, 723901, 884101, 1069531, 1282711, 1526281, 1803001, 2115751, 2467531 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Last digit of a(n) is always 1. Last two digits of a(n) (i.e., a(n) mod 100) are repeated periodically with palindromic part of period 20 {1,31,11,81,1,51,31,61,81,51,51,81,61,31,51,1,81,11,31,1}. Last three digits of a(n) (i.e., a(n) mod 1000) are repeated periodically with palindromic part of period 200. - Alexander Adamchuk, Aug 11 2006 In Conway and Guy, these numbers are called nexus numbers of order 5. - M. F. Hasler, Jan 27 2013 REFERENCES J. H. Conway and R. K. Guy, The Book of Numbers, p. 54. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA Sequence is 24*0+1, 24*1+7, 24*8+19, 24*31+37, ... = A003215 + 24 * A006322. - Xavier Acloque, Oct 11 2003 G.f.: (-1-x^4-26*x^3-66*x^2-26*x)/(x-1)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009 MATHEMATICA q=5; lst={}; Do[AppendTo[lst, (n+1)^q-n^q], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 23 2009 *) Table[(n+1)^5-n^5, {n, 0, 30} (* Vincenzo Librandi, Nov 23 2011 *) PROG (MAGMA) [(n+1)^5-n^5: n in [0..30]]; // Vincenzo Librandi, Nov 23 2011 (PARI) a(n)=(n+1)^5-n^5 \\ Charles R Greathouse IV, Sep 24 2015 CROSSREFS First differences of A000584. A row of A047969. Sequence in context: A096906 A181124 A142328 * A152730 A090027 A164784 Adjacent sequences:  A022518 A022519 A022520 * A022522 A022523 A022524 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 17 17:31 EDT 2018. Contains 316291 sequences. (Running on oeis4.)