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A190646 Least number k such that d(k-1) = d(k+1) = 2n or 0 if no such k exists, where d(n)=A000005(n). 5

%I #30 Mar 04 2022 12:59:41

%S 4,7,19,41,127252,199,26890624,919,17299,6641,25269208984376,3401,

%T 3900566650390624,640063,8418574,18089,1164385682220458984374,41651,

%U 69528379848480224609374,128465,34084859374,12164095,150509919493198394775390626,90271

%N Least number k such that d(k-1) = d(k+1) = 2n or 0 if no such k exists, where d(n)=A000005(n).

%C a(28) = 2319679. a(30) = 3568049.

%C From _Chai Wah Wu_, Mar 13 2019: (Start)

%C a(26) = 64505245697, a(27) = 3959299, a(29) = 237828698392557762563228607177734374, a(31) = 26711406049549496732652187347412109374, a(32) = 441559, a(34) = 12535291248641, a(36) = 352351, a(37) = 1749348542212388688829378224909305572509765626, a(38) = 193405731995647.

%C Conjecture: if p is an odd prime, then a(p) is even.

%C (End)

%H Hugo van der Sanden, <a href="/A190646/b190646.txt">Table of n, a(n) for n = 1..40</a>

%e a(16)=18089 because d(18088)=d(18090)=2*16.

%Y Cf. A067888, A075036, A190355.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, May 15 2011, May 20 2011

%E a(7), a(11), a(13), and a(15) from _T. D. Noe_, May 25 2011

%E a(17), a(19), a(21)-a(23) from _Chai Wah Wu_, Mar 13 2019

%E b-file extending to a(40) from _Hugo van der Sanden_, Mar 4 2022

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Last modified April 25 08:25 EDT 2024. Contains 371964 sequences. (Running on oeis4.)