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A308070 Numbers k such that k is the substring identical to the most significant digits of its base-7 representation. 3

%I #18 May 19 2019 19:44:40

%S 0,1,2,3,4,5,6,102616333034,102620103253,103055445560,206154633166,

%T 206154633200,212216263215,212220033434,315315450515,321340554340,

%U 424436332033,424440102253,430461435550,430501403606,533560623156,533600556144

%N Numbers k such that k is the substring identical to the most significant digits of its base-7 representation.

%C Numbers k whose base-7 representation begins with the same digits as k itself.

%H Scott R. Shannon, <a href="/A308070/b308070.txt">Table of n, a(n) for n = 1..500</a>

%e 102616333034_10 = 10261633303415_7, which also begins with '102616333034'.

%o (PARI) isok(n) = my(vb=digits(n, 7), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ _Michel Marcus_, May 17 2019

%Y This is a subsequence of A228050.

%Y See A181929, A307254, A307255, A307256, A307257, A308071, A308072 for other bases.

%K nonn,base

%O 1,3

%A _Scott R. Shannon_, May 11 2019

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Last modified July 15 17:56 EDT 2024. Contains 374333 sequences. (Running on oeis4.)