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.

A211558 Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4.

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%I A211558 #9 Aug 25 2024 18:48:50
%S A211558 1,16,162,1345,10096,72028,503295,3513522,24846186,179710415,
%T A211558 1338211110,10301168792,82149009153,679213429092,5821288827862,
%U A211558 51678344988737,474686563694500,4505982729646896,44149073821979791,445947141166581374,4638543419725492302,49631058873617505287
%N A211558 Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4.
%H A211558 R. H. Hardin, <a href="/A211558/b211558.txt">Table of n, a(n) for n = 1..210</a>
%F A211558 Empirical: a(n) = Sum_{j=5..n+4} Stirling2(n+4,j).
%e A211558 Some solutions for n=5:
%e A211558 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A211558 ..1....1....1....0....1....1....1....1....1....1....1....1....1....1....0....1
%e A211558 ..2....1....1....1....0....2....2....1....2....1....2....1....2....2....1....1
%e A211558 ..0....2....2....2....2....3....3....2....3....2....3....2....0....3....2....1
%e A211558 ..3....0....3....1....2....0....0....3....1....0....2....2....3....2....1....2
%e A211558 ..0....3....3....3....3....4....4....4....4....2....4....1....3....3....3....3
%e A211558 ..1....4....3....4....4....2....1....1....0....3....1....3....0....0....0....2
%e A211558 ..0....1....0....1....4....4....3....1....2....4....5....0....4....4....4....0
%e A211558 ..4....0....4....1....5....4....5....2....0....5....4....4....5....5....0....4
%Y A211558 Column 5 of A211561.
%K A211558 nonn
%O A211558 1,2
%A A211558 _R. H. Hardin_, Apr 15 2012