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A308072 Numbers k such that k is the substring identical to the most significant digits of its base-9 representation. 3

%I #17 May 19 2019 19:44:02

%S 0,1,2,3,4,5,6,7,8,1066338786883726756382,1066338787045067082685,

%T 1066338805156287287066,1066338805156287287067,1066338805156287300050,

%U 1066338805156301216066,1066341132816741837214,1070235882243468707818,1070235882243470056412,1070236076684636644063

%N Numbers k such that k is the substring identical to the most significant digits of its base-9 representation.

%C Numbers k whose base-9 representation begins with the same digits as k itself.

%H Scott R. Shannon, <a href="/A308072/b308072.txt">Table of n, a(n) for n = 1..500</a>

%e 1066338786883726756382_10 = 10663387868837267563825_9, which also begins with '1066338786883726756382'.

%o (PARI) isok(n) = my(vb=digits(n, 9), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ _Michel Marcus_, May 17 2019

%Y This is a subsequence of A228052.

%Y See A181929, A307254, A307255, A307256, A307257, A308070, A308071 for other bases.

%K nonn,base

%O 1,3

%A _Scott R. Shannon_, May 11 2019

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Last modified August 30 07:09 EDT 2024. Contains 375532 sequences. (Running on oeis4.)