A352112 - OEIS

A352112

In the primorial base expansion of n, replace each place value, say A002110(k) with k >= 0, by (-1)^k * A002110(k).

0, 1, -2, -1, -4, -3, 6, 7, 4, 5, 2, 3, 12, 13, 10, 11, 8, 9, 18, 19, 16, 17, 14, 15, 24, 25, 22, 23, 20, 21, -30, -29, -32, -31, -34, -33, -24, -23, -26, -25, -28, -27, -18, -17, -20, -19, -22, -21, -12, -11, -14, -13, -16, -15, -6, -5, -8, -7, -10, -9, -60

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OFFSET

0,3

COMMENTS

This sequence maps natural numbers uniquely onto integers.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..2309 (terms for n < 2*3*5*7*11)

Index entries for sequences related to primorial base

EXAMPLE

For n = 42:

- 42 = 1 * 5*3*2 + 2 * 3*2 + 0 * 2 + 0 * 1.

- so a(42) = 1 * -5*3*2 + 2 * 3*2 + 0 * -2 + 0 * 1 = -18.