A073793 Replace 6^k with (-6)^k in base 6 expansion of n.

0, 1, 2, 3, 4, 5, -6, -5, -4, -3, -2, -1, -12, -11, -10, -9, -8, -7, -18, -17, -16, -15, -14, -13, -24, -23, -22, -21, -20, -19, -30, -29, -28, -27, -26, -25, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11

Offset: 0

Author

Robert G. Wilson v, Aug 12 2002

Keywords

• base
• easy
• sign

Comments

Base 6 representation for n converted from base -6 to base 10.

Links

• Dana G. Korssjoen, Biyao Li, Stefan Steinerberger, Raghavendra Tripathi, and Ruimin Zhang, Finding structure in sequences of real numbers via graph theory: a problem list, arXiv:2012.04625 [math.CO], 2020-2021.

Crossrefs

Cf. A007092, A073787, A053985, A065369, A073791, A073792, A073794, A073795, A073796 & A073835.

Programs

Mathematica

f[n_Integer, b_Integer] := Block[{l = IntegerDigits[n]}, Sum[l[[ -i]]*(-b)^(i - 1), {i, 1, Length[l]}]]; a = Table[ FromDigits[ IntegerDigits[n, 6]], {n, 0, 80}]; b = {}; Do[b = Append[b, f[a[[n]], 6]], {n, 1, 80}]; b

Formula

a(6*k+m) = -6*a(k)+m for 0 <= m < 6. - Chai Wah Wu, Jan 16 2020