A001357 Powers of 2 written in base 9. (Formerly M1138 N0434)

1, 2, 4, 8, 17, 35, 71, 152, 314, 628, 1357, 2725, 5551, 12212, 24424, 48848, 108807, 218715, 438531, 878162, 1867334, 3845668, 7802447, 16705005, 34511011, 70122022, 150244044, 310488088, 621087187, 1342185385, 2684381781, 5478773672, 12068657454, 24148426018

Offset

0,2

References

Archimedeans Problems Drive, Eureka, 14 (1951), 13.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (first 301 terms from T. D. Noe)

Maple

b:= proc(n) local m; m:= n; "";
      while m>0 do irem(m, 9, 'm'), % od;
      parse(cat(%))
    end:
a:= n-> b(2^n):
seq(a(n), n=0..42);  # Alois P. Heinz, Aug 21 2019

Mathematica

Table[FromDigits[IntegerDigits[2^n, 9]], {n, 0, 30}] (* T. D. Noe, Jun 28 2012 *)

Prog

(PARI) {for(ixp=0, 34,
casi = 2^ixp; cvst=0;
while(casi != 0,
cvd = casi%9; cvst=10*cvst + cvd + 1; casi = (casi - cvd) / 9 );
while(cvst !=0,
ptch = cvst%10; print1(ptch-1); cvst = (cvst - ptch) / 10 );
print1(", "))} /* Douglas Latimer, Apr 23 2012 */

Crossrefs

Sequence in context: A018094 A293331 A309908 * A309462 A058520 A127680

Adjacent sequences: A001354 A001355 A001356 * A001358 A001359 A001360

Keyword

easy,base,nonn

Author

N. J. A. Sloane

Extensions

More terms from Douglas Latimer, Apr 16 2012

Status

approved