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.

A114098 Number of partitions of n into parts that are distinct mod 9.

This page as a plain text file.
%I A114098 #11 Jan 23 2021 16:44:52
%S A114098 1,1,1,2,2,3,4,5,6,8,10,11,15,16,20,25,28,32,39,46,50,62,66,78,93,101,
%T A114098 112,132,150,161,192,202,232,268,287,312,361,400,425,497,516,582,658,
%U A114098 698,748,858,932,982,1135,1164,1296,1443,1519,1610,1845,1968,2059
%N A114098 Number of partitions of n into parts that are distinct mod 9.
%H A114098 Alois P. Heinz, <a href="/A114098/b114098.txt">Table of n, a(n) for n = 0..2500</a> (terms n = 1..700 from Fausto A. C. Cariboni)
%e A114098 a(7)=5 because there are 5 such partition of 7: {7}, {1,6}, {2,5}, {3,4}, {4,2,1}.
%t A114098 << DiscreteMath`Combinatorica`; np[n_]:= Length@Select[Mod[ #,9]& /@ Partitions[n],(Length@# != Length@Union@#)&]; lst = Array[np,50]
%K A114098 nonn
%O A114098 0,4
%A A114098 _Giovanni Resta_, Feb 06 2006
%E A114098 a(0)=1 prepended by _Alois P. Heinz_, Jan 23 2021