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First occurrence of run of lucky numbers congruent to 3 mod 4 of exactly length n.
3

%I #17 May 10 2020 18:19:36

%S 15,3,51,1563,211,1123,15511,5487,37195,108963,331527,1493103,1103307,

%T 3248367,46574499,4814875,14747343,222808263,446500987,46936231,

%U 228462727,1003298383,1705601667

%N First occurrence of run of lucky numbers congruent to 3 mod 4 of exactly length n.

%C Calculated using _Hugo van der Sanden_'s Lucky numbers up to 10^9 (private communication).

%C a(24) > 4*10^9. - _Giovanni Resta_, May 10 2020

%H Amiram Eldar and Giovanni Resta, <a href="/A330361/a330361_1.txt">Table of n, k, A000959(k), ..., A000959(k+n-1) for n = 1..23</a>

%e a(1) = 15 since 15 is a lucky number congruent to 3 mod 4, following 13 and followed by 21 which are both not congruent to 3 mod 4.

%e a(2) = 3 since 3 and 7 are 2 consecutive lucky numbers congruent to 3 mod 4, following 1 and followed by 9 which are both not congruent to 3 mod 4.

%Y Cf. A000959, A055624, A137170, A330359, A330360.

%K nonn,more

%O 1,1

%A _Amiram Eldar_, Dec 12 2019

%E a(22)-a(23) from _Giovanni Resta_, May 10 2020