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.

A071644 a(n) = A005148(2^n-1)/8^(n-1).

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%I A071644 #9 Jan 31 2022 19:37:49
%S A071644 1,311,433380445,10478887384420274295559,
%T A071644 72383623935281195994580596438773770789899563140885,
%U A071644 39891231890836797259743675264050089835308134898303203181868683359843686746718703346865629969758112672725599
%N A071644 a(n) = A005148(2^n-1)/8^(n-1).
%C A071644 Appears to always be an integer. General conjecture: the numbers k such that 8^a is the highest power of 2 dividing A005148(k) is the same sequence as numbers k such that k has exactly (a+1) 1's in its binary representation. Hence this sequence gives the smallest integer of the form A005148(k) /8^(n-1).
%o A071644 (PARI) for(s=1,8,n=2^s-1; print1(polcoeff(prod(k=1,(n+1)\2,1+x^(2*k-1),1+x*O(x^n))^(24*n),n)/24/8^(s-1),","))
%K A071644 easy,nonn
%O A071644 1,2
%A A071644 _Benoit Cloitre_, Jun 22 2002