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A309991 Balanced quinary (base 5) enumeration (or balanced quinary representation) of integers, write n in quinary, and then replace 3's with (-2)'s and 4's with (-1)'s. 4
0, 1, 2, -2, -1, 5, 6, 7, 3, 4, 10, 11, 12, 8, 9, -10, -9, -8, -12, -11, -5, -4, -3, -7, -6, 25, 26, 27, 23, 24, 30, 31, 32, 28, 29, 35, 36, 37, 33, 34, 15, 16, 17, 13, 14, 20, 21, 22, 18, 19, 50, 51, 52, 48, 49, 55, 56, 57, 53, 54, 60, 61, 62, 58, 59, 40, 41 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence, like the balanced ternary sequence, will eventually include every integer exactly once.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..15624

MAPLE

a:= proc(n) option remember; `if`(n=0, 0,

      5*a(iquo(n, 5))+mods(n, 5))

    end:

seq(a(n), n=0..100);  # Alois P. Heinz, Aug 26 2019

PROG

(PARI) a(n) = subst(Pol(apply(d->if(d>2, d-5, d), digits(n, 5)), 'x), 'x, 5) \\ Andrew Howroyd, Aug 26 2019

CROSSREFS

Cf. A117966.

Column k=2 of A319047.

Sequence in context: A056857 A175579 A129100 * A162382 A325580 A127082

Adjacent sequences:  A309988 A309989 A309990 * A309992 A309993 A309994

KEYWORD

sign,base

AUTHOR

Jackson Haselhorst, Aug 26 2019

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)