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.

A075496 a(1)=1, a(n) = Sum_{k=1..n-1} max(a(k), a(n-k)).

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%I A075496 #12 Jan 08 2023 11:18:36
%S A075496 1,1,2,5,14,40,118,349,1042,3112,9322,27926,83738,251096,753170,
%T A075496 2259161,6777134,20330360,60990038,182967002,548897894,1646684360,
%U A075496 4940043758,14820103348,44460282118,133380762616,400142204110,1200426361234,3601278832606,10803835744648
%N A075496 a(1)=1, a(n) = Sum_{k=1..n-1} max(a(k), a(n-k)).
%H A075496 Seiichi Manyama, <a href="/A075496/b075496.txt">Table of n, a(n) for n = 1..2000</a>
%F A075496 a(n) is asymptotic to c*3^n where c=0.05247353240352723607883446992217693404861703471190473058997502846657554868....
%p A075496 a:= proc(n) option remember; `if`(n=1, 1,
%p A075496        add(max(a(k), a(n-k)), k=1..n-1))
%p A075496     end:
%p A075496 seq(a(n), n=1..30);  # _Alois P. Heinz_, Jan 08 2023
%Y A075496 Cf. A075535.
%K A075496 nonn
%O A075496 1,3
%A A075496 _Benoit Cloitre_, Jan 11 2003