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

0, 1, 2, 3, 4, 5, 6, 102616333034, 102620103253, 103055445560, 206154633166, 206154633200, 212216263215, 212220033434, 315315450515, 321340554340, 424436332033, 424440102253, 430461435550, 430501403606, 533560623156, 533600556144

Offset

1,3

Comments

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

Links

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

Example

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

Prog

(PARI) isok(n) = my(vb=digits(n, 7), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ Michel Marcus, May 17 2019

Crossrefs

This is a subsequence of A228050.

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

Sequence in context: A164699 A228050 A331561 * A067570 A133303 A152302

Adjacent sequences: A308067 A308068 A308069 * A308071 A308072 A308073

Keyword

nonn,base

Author

Scott R. Shannon, May 11 2019

Status

approved