A308070 -id:A308070

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A308071

Numbers k such that k is the substring identical to the most significant digits of its base-8 representation.

+10
3

0, 1, 2, 3, 4, 5, 6, 7, 13663722656306465044, 13664030703642511032, 13707143454447524553, 13710552565235121771, 14336552505653142213, 14340267205650777016, 14340267205651006010, 15013125376232575510, 15013125401147630620, 10142740706726414575022612720

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OFFSET

1,3

COMMENTS

Numbers k whose base-8 representation begins with the same digits as k itself.

LINKS

Scott R. Shannon, Table of n, a(n) for n = 1..500

EXAMPLE

13663722656306465044_10 = 1366372265630646504424_8, which also begins with '13663722656306465044'.

PROG

(PARI) isok(n) = my(vb=digits(n, 8), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ Michel Marcus, May 17 2019

CROSSREFS

This is a subsequence of A228051.

See A181929, A307254, A307255, A307256, A307257, A308070, A308072 for other bases.

KEYWORD

nonn,base

AUTHOR

Scott R. Shannon, May 11 2019

STATUS

approved

A308072

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

+10
3

0, 1, 2, 3, 4, 5, 6, 7, 8, 1066338786883726756382, 1066338787045067082685, 1066338805156287287066, 1066338805156287287067, 1066338805156287300050, 1066338805156301216066, 1066341132816741837214, 1070235882243468707818, 1070235882243470056412, 1070236076684636644063