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.

A134040 a(0) = 1; for n>0, a(n) = number of binary partitions of the Catalan number A000108(n).

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%I A134040 #4 Mar 30 2012 18:37:05
%S A134040 1,2,4,14,140,4964,808870,726210606,4161522164020,170403742275382924,
%T A134040 54674613696351170731038,148019646825727958873435181692,
%U A134040 3596203368022579371689526442266893534
%N A134040 a(0) = 1; for n>0, a(n) = number of binary partitions of the Catalan number A000108(n).
%H A134040 Alois P. Heinz, <a href="/A134040/b134040.txt">Table of n, a(n) for n = 0..30</a>
%F A134040 a(n) = A000123( A000108(n) ) for n>0 with a(0)=1, where A000108(n) = C(2*n,n)/(n+1) (Catalan numbers) and A000123(n) = number of partitions of 2n into powers of 2.
%e A134040 a(0)=1, a(1)=A000123(1)=2, a(2)=A000123(2)=4, a(3)=A000123(5)=14, a(4)=A000123(14)=140.
%Y A134040 Cf. A000123, A000108.
%K A134040 nonn
%O A134040 0,2
%A A134040 _Paul D. Hanna_, Oct 02 2007