This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A110879 #3 Feb 27 2009 03:00:00 %S A110879 -1,-2,-3,5,1,-3,-3,7,6,-7,-23,15,12,28,-48,-25,-10,165,4,-274,-408, %T A110879 927,932,-1179,-3745,2906,7620,-1471,-21283,1593,40509,18877,-93870, %U A110879 -53839,153551,204285,-293171,-462306,307359,1227141,-282147,-2368041,-1025023,5041701,4100247,-7457707,-15096708 %N A110879 Let a_0 = 1 and for n > 0, let a_n be the smallest positive integer not already in the sequence such that (a_0 + a_1 x + a-2x^2 + ....)^(1/3) has integer coefficients. (Hanna's A083349). Let f(n) = n th term in the present sequence. Then a_0 + a_1 x + a_2 x^2 + ... = (1-x)^f(1) (1-x^2)^f(2) (1-x^3)^f(3) .... %C A110879 The preprint reference asks for a generating function for Hanna's sequence. Terms of present sequence are the exponents in an infinite product for Hanna's sequence. They were obtained from terms of Hanna's sequence with the cited theorem in Apostol and Mobius inversion. %D A110879 Apostol, T., Introduction to Analytic Number Theory, Springer-Verlag 1976, Theorem 14.8, p. 323. %H A110879 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745. %Y A110879 Cf. A083349. %K A110879 sign %O A110879 1,2 %A A110879 Barry Brent (barrybrent(AT)member.ams.org), Sep 19 2005