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A055629 Beginning of first run of at least n consecutive happy numbers. 3

%I #22 Jul 09 2017 14:04:00

%S 1,31,1880,7839,44488,7899999999999959999999996,

%T 7899999999999959999999996

%N Beginning of first run of at least n consecutive happy numbers.

%C This sequence is infinite - see Theorem 3.1 of El-Sedy & Siksek.

%H H. G. Grundman, E. A. Teeple, <a href="http://dx.doi.org/10.1216/rmjm/1199649829">Sequences of consecutive happy numbers</a>, Rocky Mountain J. Math. 37 (6) (2007) 1905-1916.

%H Hao Pan, <a href="http://dx.doi.org/10.1016/j.jnt.2007.11.009">On consecutive happy numbers</a>, J. Numb. Theory 128 (6) (2008) 1646-1654.

%H Esam El-Sedy and Samir Siksek, <a href="http://dx.doi.org/10.1216/rmjm/1022009281">On happy numbers</a>, Rocky Mountain J. Math. 30 (2000), 565-570.

%H R. Styer, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL13/Styer/styer5.html">Smallest Examples of Strings of Consecutive Happy Numbers</a>, J. Int. Seq. 13 (2010), 10.6.3.

%e Lambert Klasen (lambert.klasen(AT)postmaster.co.uk), Oct 17 2004: with notation {9:repeat_count_of_digit_nine}, a(8) = 58{9:11}6{9:143}95, a(9) = 16{9:179}4{9:87}95, a(10) = 16{9:181}5{9:696}95.

%Y Cf. A007770.

%K base,nonn

%O 1,2

%A _David W. Wilson_, Jun 05 2000

%E The next term a(8) is too large to include.

%E Entry corrected by _Sergio Pimentel_, Dec 10 2005

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Last modified April 24 11:40 EDT 2024. Contains 371936 sequences. (Running on oeis4.)