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.

A062537 Nodes in riff (rooted index-functional forest) for n.

This page as a plain text file.
%I A062537 #29 Jul 11 2023 19:32:58
%S A062537 0,1,2,2,3,3,3,3,3,4,4,4,4,4,5,3,4,4,4,5,5,5,4,5,4,5,4,5,5,6,5,4,6,5,
%T A062537 6,5,5,5,6,6,5,6,5,6,6,5,6,5,4,5,6,6,4,5,7,6,6,6,5,7,5,6,6,4,7,7,5,6,
%U A062537 6,7,6,6,6,6,6,6,7,7,6,6,4,6,5,7,7,6,7,7,6,7,7,6,7,7,7,6,5,5,7,6,6,7,5,7,8
%N A062537 Nodes in riff (rooted index-functional forest) for n.
%C A062537 A061396(n) is the number of times n appears in this sequence.
%H A062537 Reinhard Zumkeller, <a href="/A062537/b062537.txt">Table of n, a(n) for n = 1..10000</a>
%H A062537 Jon Awbrey, <a href="/A061396/a061396a.txt">Illustrations of riffs for small integers</a>.
%H A062537 Jon Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>.
%F A062537 a(Product(p_i^e_i)) = Sum(a(i)+a(e_i)+1), product over nonzero e_i in prime factorization.
%F A062537 a(n) = Sum_{k=1..A001221(n)} (a(A049084(A027748(n,k))) + a(A124010(n,k)) + 1). - _Reinhard Zumkeller_, Feb 26 2013
%t A062537 a[1] = 0; a[n_] := a[n] = Sum[{p, e} = pe; a[PrimePi[p]] + a[e] + 1, {pe, FactorInteger[n]}]; Array[a, 105] (* _Jean-François Alcover_, Jul 26 2019 *)
%o A062537 (Haskell)
%o A062537 import Data.Function (on)
%o A062537 a062537 1 = 0
%o A062537 a062537 n = sum $ map (+ 1) $
%o A062537    zipWith ((+) `on` a062537) (map a049084 $ a027748_row n) (a124010_row n)
%o A062537 -- _Reinhard Zumkeller_, Feb 26 2013
%Y A062537 Cf. A061396.
%Y A062537 Cf. A001221, A027748, A049084, A124010.
%K A062537 nonn,easy,nice
%O A062537 1,3
%A A062537 _David W. Wilson_, Jun 25 2001