cp's OEIS Frontend

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.

A049981 a(n) is the number of arithmetic progressions of positive integers, strictly increasing with sum <= n.

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%I A049981 #61 Oct 01 2019 07:18:39
%S A049981 1,2,4,6,9,13,17,21,28,34,40,49,56,64,77,86,95,110,120,132,150,163,
%T A049981 175,195,210,225,248,265,280,308,324,342,370,390,412,445,464,486,519,
%U A049981 545,566,605,627,653,696,723,747,790,817,850,894,925,952,1002,1036,1070,1119,1153,1183,1243,1274,1310
%N A049981 a(n) is the number of arithmetic progressions of positive integers, strictly increasing with sum <= n.
%H A049981 Sadek Bouroubi and Nesrine Benyahia Tani, <a href="http://ftp.math.uni-rostock.de/pub/romako/heft64/bou64.pdf">Integer partitions into arithmetic progressions</a>, Rostok. Math. Kolloq. 64 (2009), 11-16.
%H A049981 Sadek Bouroubi and Nesrine Benyahia Tani, <a href="https://www.emis.de/journals/INTEGERS/papers/j7/j7.Abstract.html">Integer partitions into arithmetic progressions with an odd common difference</a>, Integers 9(1) (2009), 77-81.
%H A049981 Graeme McRae, <a href="https://web.archive.org/web/20081122034835/http://2000clicks.com/MathHelp/BasicSequenceA049982.htm">Counting arithmetic sequences whose sum is n</a>.
%H A049981 Graeme McRae, <a href="/A049988/a049988.pdf">Counting arithmetic sequences whose sum is n</a> [Cached copy]
%H A049981 Augustine O. Munagi, <a href="http://www.emis.de/journals/INTEGERS/papers/k7/k7.Abstract.html">Combinatorics of integer partitions in arithmetic progression</a>, Integers 10(1) (2010), 73-82.
%H A049981 Augustine O. Munagi and Temba Shonhiwa, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL11/Shonhiwa/shonhiwa13.html">On the partitions of a number into arithmetic progressions</a>, Journal of Integer Sequences 11 (2008), Article 08.5.4.
%H A049981 A. N. Pacheco Pulido, <a href="http://www.bdigital.unal.edu.co/7753/">Extensiones lineales de un poset y composiciones de números multipartitos</a>, Maestría thesis, Universidad Nacional de Colombia, 2012.
%F A049981 From _Petros Hadjicostas_, Sep 29 2019: (Start)
%F A049981 a(n) = Sum_{k = 1..n} A049980(k) = n + Sum_{k = 1..n} A049982(k).
%F A049981 G.f.: (g.f. of A049980)/(1-x). (End)
%Y A049981 Cf. A014405, A014406, A049980, A049982, A049983, A049986, A049987, A068322, A068323, A068324, A127938, A175342.
%K A049981 nonn
%O A049981 1,2
%A A049981 _Clark Kimberling_
%E A049981 More terms from _Petros Hadjicostas_, Sep 29 2019