%I
%S 211248,1146096,3948048,6090048,14590800,54100800,61051248,315758448,
%T 567777600,1715222448,1912711248,2408874048,2636106048,2744664048,
%U 2811450096,3304032048,4647444048,4832821296,6020336448,6028239600,6739372800,7824754800,10110704400
%N Initial terms of chains consisting of five consecutive integers, for neither of which the value of sigmafunction is divisible by six.
%C In A084301, that is among remainders of sigma(n) modulo 6, chains of 0's can be large. On the contrary, the length of non0remainderchains is believed to be limited or occurrence of longer chains is rare. Consider remainders of sigma(5x) modulo 6.
%C The first 1000 terms are all divisible by 144.  _Donovan Johnson_, Aug 07 2013
%H Donovan Johnson, <a href="/A097021/b097021.txt">Table of n, a(n) for n = 1..1000</a>
%e n = 14590800: sigma values for {n, n+1, n+2, n+3, n+4} = {59658880, 15110144, 22806063, 20958080, 25533914} have remainders modulo 6 as follows {4,2,3,2,2}.
%o (PARI) forstep(m=25, 10110704400, 25, if(sigma(m)%6<>0, n=m; c=1; forstep(j=m1, m4, 1, if(sigma(j)%6<>0, c++; n=j, j=m4)); for(j=m+1, m+4, if(sigma(j)%6<>0, c++, j=m+4)); if(c>=5, print1(n ", ")))) /* _Donovan Johnson_, Aug 06 2013 */
%Y Cf. A084301.
%K nonn
%O 1,1
%A _Labos Elemer_, Aug 23 2004
%E a(6)a(20) from _Donovan Johnson_, Sep 03 2008
