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.

A051464 Number of divisors of 4*(2^n-1) + 1.

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%I A051464 #13 Sep 16 2021 02:26:12
%S A051464 2,2,2,2,4,4,2,2,4,2,4,2,4,6,4,4,16,2,4,2,4,2,4,8,12,8,2,4,8,4,4,4,4,
%T A051464 4,4,8,8,4,8,16,8,4,8,8,6,16,8,8,8,16,8,4,32,32,8,4,8,4,4,8,16,8,8,16,
%U A051464 48,16,16,8,4,16,4,16,16,8,8,8,16,16,8,16,32
%N A051464 Number of divisors of 4*(2^n-1) + 1.
%C A051464 Create a table with tau(2^n-1) as the first row (A046801) and tau(m) as the first column (A000005). The second column is tau(A004760) and so on. Rows 2, 3 and 4 are easily described in terms of row 1. This sequence is row 5.
%H A051464 Sean A. Irvine, <a href="/A051464/b051464.txt">Table of n, a(n) for n = 1..591</a>
%F A051464 a(n) = tau(4*(2^n -1)+1), where d(n) = A000005(n).
%t A051464 Array[DivisorSigma[0, 4*(2^# - 1) + 1] &, 81] (* _Michael De Vlieger_, Sep 15 2021 *)
%o A051464 (PARI) a(n) = numdiv(4*(2^n-1) + 1); \\ _Michel Marcus_, Sep 16 2021
%Y A051464 Cf. A000005, A036563.
%K A051464 nonn
%O A051464 1,1
%A A051464 Edwin D. Evans, eevans2(AT)pacbell.net
%E A051464 a(81) corrected by _Sean A. Irvine_, Sep 15 2021