A109839 Negative numbers written in a bits-of-Pi/primorial base system.

1, 10, 11, 20, 21, 16400, 16401, 16410, 16411, 16420, 16421, 16300, 16301, 16310, 16311, 16320, 16321, 16200, 16201, 16210, 16211, 16220, 16221, 16100, 16101, 16110, 16111, 16120, 16121, 16000, 16001, 16010, 16011, 16020, 16021, 15400

Offset

1,2

Comments

A109838 describes this representation system which is my example of a type appearing in one of Long's exercises.

References

Calvin T. Long, Elementary Introduction to Number Theory, 2nd ed., D.C. Heath and Company, 1972, p. 30.

Links

Table of n, a(n) for n=1..36.

Example

a(6) = 16400 because -6 = -210 + 180 + 24 = ((-1)^1)*1*210 + ((-1)^0)*6*30 + ((-1)^0)*4*6 + ((-1)^1)*0*2 + ((-1)^1)*0*1, where 1,1,0,0,1 are the first five terms of A004601 and 1,2,6,30,210 are the first five terms of A002110.

Crossrefs

Cf. A109838 (nonnegative integers represented similarly), A004601 (Pi in binary), A002110 (primorials), A049345 (primorial base).

Sequence in context: A049345 A007623 A109827 * A280149 A087486 A284375

Adjacent sequences: A109836 A109837 A109838 * A109840 A109841 A109842

Keyword

base,nonn

Author

Rick L. Shepherd, Jul 05 2005

Status

approved