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.

A015753 Number of partitions of n into distinct parts, none being 6.

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%I A015753 #22 May 18 2020 19:22:52
%S A015753 1,1,1,2,2,3,3,4,5,6,8,9,12,14,17,21,24,29,34,40,47,55,65,75,88,102,
%T A015753 118,137,157,181,208,238,272,311,355,404,460,522,592,671,758,856,966,
%U A015753 1088,1224,1377,1546,1734,1944,2176,2434,2720,3036,3386,3774,4202,4674
%N A015753 Number of partitions of n into distinct parts, none being 6.
%C A015753 a(n) = A015741(n+6). - _Alois P. Heinz_, Aug 24 2011
%H A015753 Vincenzo Librandi, <a href="/A015753/b015753.txt">Table of n, a(n) for n = 0..1000</a>
%t A015753 CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^6), {q, 0, 60}], q]
%t A015753 Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 6]], {n, 0, 56}] (* _Robert Price_, May 18 2020 *)
%Y A015753 Cf. A025147, A015744, A015745, A015746, A015750, A015754, A015755.
%K A015753 nonn
%O A015753 0,4
%A A015753 _Clark Kimberling_
%E A015753 Corrected and extended by _Dean Hickerson_, Oct 10 2001