A054634 -id:A054634 - cp's OEIS frontend

A055063 Positions of primes in A054636 with offset 1.

3, 9, 10, 12, 18, 29, 30, 39, 61, 63, 68, 81, 87, 93, 108, 114, 116, 121, 122, 123, 135, 148, 152, 157, 167, 178, 181, 190, 200, 203, 210, 217, 226, 239, 241, 248, 253, 274, 279, 292, 301, 304, 311, 319, 320, 322, 323, 334, 335, 340, 343, 347, 352, 355, 359

Offset: 1

Patrick De Geest, Apr 15 2000

Original name with typo corrected: Pointers to base-8 digits where primes occur in A055062.

			012345671011121314151617202122232425...
--|...... sum 0+1+2 = prime 3 at position 3
--------| sum 0+1+2+3+4+5+6+7+1 = prime 29 at position 9

Cf. A054634, A054636, A055062.

Position[Accumulate@ Flatten[IntegerDigits[Range[0, 144], 8]], ?PrimeQ][[All, 1]] (* _Michael De Vlieger, Mar 09 2022 *)

Revised by Sean A. Irvine, Mar 09 2022

A055149 The first n digits of the juxtaposition of the base-8 numbers converted to decimal.

Original entry on oeis.org

1, 10, 83, 668, 5349, 42798, 342391, 2739129, 21913032, 175304257, 1402434057, 11219472457, 89755779658, 718046237265, 5744369898123, 45954959184985, 367639673479884, 2941117387839073, 23528939102712589, 188231512821700713

Offset: 1

Patrick De Geest, Apr 15 2000

			1 (1); 12 (10); 123 (83); 1234 (668); 12345 (5349); 123456 (42798); ...

Cf. A054634, A054636, A055062, A055063, A055143-A055150.

nn=30;With[{b8=Flatten[IntegerDigits[Range[nn],8]]},Table[ FromDigits[ Take[ b8,n],8],{n,nn}]] (* Harvey P. Dale, Jul 12 2014 *)

A275993 Champernowne sequence: write n in base 16 and juxtapose.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 13, 1, 14, 1, 15, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 2, 12, 2, 13, 2, 14, 2, 15, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 9, 3, 10, 3, 11, 3

Offset: 0

Robert G. Wilson v, Aug 15 2016

10 -> A, 11 -> B, 12 -> C, 13 -> D, 14 -> E & 15 -> F.

Paolo Xausa, Table of n, a(n) for n = 0..10000
Jim Bumgardner, Hexadecimal Sudoku Puzzles
Tech Insider, This is the code Matt Damon and NASA use to communicate in 'The Martian'
Eric W. Weisstein, Wolfram MathWorld, Hexadecimal
Wikipedia, Hexadecimal

Tables in which the n-th row lists the base b digits of n: A030190 and A030302 (b=2), A003137 and A054635 (b=3), A030373 (b=4), A031219 (b=5), A030548 (b=6), A030998 (b=7), A031035 and A054634 (b=8), A031076 (b=9), A007376 and A033307 (b=10).

almostNatural[n_, b_] := Block[{m = 0, d = n, i = 1, l, p}, While[m <= d, l = m; m = (b -1) i*b^(i -1) + l; i++]; i--; p = Mod[d -l, i]; q = Floor[(d -l)/i] + b^(i -1); If[p != 0, IntegerDigits[q, b][[p]], Mod[q -1, b]]]; Array[ almostNatural[#, 16] &, 105, 0]
First[RealDigits[ChampernowneNumber[16], 16, 100, 0]] (* Paolo Xausa, Jun 21 2024 *)

cp's OEIS Frontend

A055063 Positions of primes in A054636 with offset 1.

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A055149 The first n digits of the juxtaposition of the base-8 numbers converted to decimal.

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A275993 Champernowne sequence: write n in base 16 and juxtapose.

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