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 A317082 #5 Jul 21 2018 10:05:31
%S A317082 1,1,1,2,3,4,5,8,9,13,17,22,26,35,42,53,66,81,96,122,143,174,210,251,
%T A317082 293,358,417,493,582,686,793,941,1087,1267,1471,1709,1961,2285,2615,
%U A317082 3013,3460,3976,4523,5204,5914,6747,7681,8745,9884,11262,12714,14393,16261
%N A317082 Number of integer partitions of n whose multiplicities are weakly decreasing and span an initial interval of positive integers.
%e A317082 The a(7) = 8 integer partitions are (7), (61), (52), (511), (43), (421), (322), (3211).
%t A317082 normalQ[m_]:=Union[m]==Range[Max[m]];
%t A317082 Table[Length[Select[IntegerPartitions[n],And[normalQ[Length/@Split[#]],OrderedQ[Length/@Split[#]]]&]],{n,60}]
%Y A317082 Cf. A000041, A000837, A055932, A304678, A317081, A317084, A317085, A317087, A317090.
%K A317082 nonn
%O A317082 0,4
%A A317082 _Gus Wiseman_, Jul 21 2018