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.

A366069 The number of lit cells in weakly increasing partitions of n when light shines from the northwest. Here partitions are represented from left to right by columns of cells.

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%I A366069 #17 Sep 29 2023 21:11:58
%S A366069 1,4,8,17,28,51,78,127,189,287,411,603,840,1187,1628,2242,3015,4076,
%T A366069 5399,7173,9390,12292,15904,20585,26364,33748,42856,54348,68446,86101,
%U A366069 107641,134383,166912,206961,255479,314872,386491,473632,578389,705122,856900,1039691
%N A366069 The number of lit cells in weakly increasing partitions of n when light shines from the northwest. Here partitions are represented from left to right by columns of cells.
%C A366069 See reference below.
%D A366069 A. Becher, A. Knopfmacher, and M. E. Mays, Casting light on integer partitions, preprint.
%F A366069 G.f.: P(q) * Sum_{i>=1} (q^i*(1+q^i)/(1-q^i)), where P(q) is the partition g.f. Product_{i>=1} 1/(1-q^i).
%Y A366069 Cf. A000041.
%K A366069 nonn
%O A366069 1,2
%A A366069 _Arnold Knopfmacher_, Sep 29 2023
%E A366069 More terms from _Alois P. Heinz_, Sep 29 2023